document.write( "Question 636907: -4(t +6) - (t +1) =2 what formula would be used to solve this? \n" ); document.write( "
Algebra.Com's Answer #401289 by Edwin McCravy(20055) $\"\"$ $\"About$
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document.write( "Not \"formulas\", principles:\r\n" );
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document.write( "-4(t+6)-(t+1) = 2\r\n" );
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document.write( "Use the distributive principle to remove the\r\n" );
document.write( "first set of parentheses.  Multiply the -4 by \r\n" );
document.write( "both the t and the 6 and get -4t-24 instead of\r\n" );
document.write( "the -4(t+6), so we write this:\r\n" );
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document.write( "-4t-24-(t+1) = 2\r\n" );
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document.write( "To remove the next set of parentheses we first\r\n" );
document.write( "put a 1 before the parentheses:\r\n" );
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document.write( "-4t-24-1(t+1) = 2\r\n" );
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document.write( "Use the distributive principle to remove the\r\n" );
document.write( "first set of principle.  Multiply the -1 by \r\n" );
document.write( "both the t and the 1 and get -t-1 instead of\r\n" );
document.write( "the -1(t+1), so we write this:\r\n" );
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document.write( "-4t-24-1t-1 = 2\r\n" );
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document.write( "Now we collect like terms.  The -4t and the -1t\r\n" );
document.write( "combine to give -5t.  The -24 and the -1 gives\r\n" );
document.write( "-25.  So we have this:\r\n" );
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document.write( "-5t-25 = 2\r\n" );
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document.write( "Now we need to have the letter term -5t only on the\r\n" );
document.write( "left side, so we must get rid of the -25 by using\r\n" );
document.write( "the principle of adding the same number to both\r\n" );
document.write( "-25 to both sides, so we add +25 to both sides\r\n" );
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document.write( "-5t-25+25 = 2+25\r\n" );
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document.write( "The -25 and the +25 cancel out on the left. The 2+25\r\n" );
document.write( "on the right becomes 27\r\n" );
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document.write( "      -5t = 27\r\n" );
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document.write( "Then we use the principle of dividing both sides by\r\n" );
document.write( "the coefficient of t, which is -5, so as to leave\r\n" );
document.write( "only the t\r\n" );
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document.write( "      = \r\n" );
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document.write( "     t = \r\n" );
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document.write( "You can leave it like that or divide it out and get\r\n" );
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document.write( "     t = -5.4\r\n" );
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document.write( "Edwin
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