Question 104145
40 = (2)(1+g)/ 13.8-g 
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I am assuming you mean:
{{{(2)*(1+g)/13.8 - g}}} = 40
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{{{(2+2g)/13.8 - g}}} = 40; multiplied what's inside the brackets
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2 + 2g - 13.8g = 13.8(40); multiplied eq by 13.8, gets rid of the denominator
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2g - 13.8g = 552 - 2; Subtracted 2 from both sides
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-11.8g = 550; do the math
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g = 550/-11.8; divide both sides by -11.8
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g = -46.61 is the solution
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Check in original equation:
{{{(2)*(1-46.61)/13.8 - (-46.61)}}} = 40
{{{(2)*(1-46.61)/13.8 + 46.61}}} = 40; minus a minus is a plus
{{{(2)*(-45.61)/13.8 + 46.61}}} = 40;
{{{(-91.22)/13.8 + 46.61}}} = 40;
-6.61 + 46.61 = 40; confirms our solution
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