Question 61778
4 + 3 |5n + 1| = 13

and 

5 - 4 |2-3t| = 21


2 problems?

Ok. First one: {{{ 4+3 |5n+1|=13.}}} First, Always do the distributive prop ( if you don't know: a(b+c) = ab+ac). This case, 3 is the a. Always, multiply first. 3 x 5n = 15n. 3 x 1= 3. so it would be 4 + 15n + 3= 13. Now, add 4 and 3, which equals 7. After this, subtract 7 on each side: {{{ 15m + 7 - 7 = 13 - 7 }}}. What is left is 15m=6. Now, divide 15 on each side: {{{15m/15 = 6/15}}}. Cancel out 15 on the first side, and 6/15 would be simplified to 2/5. m is 2/5.
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Second Problem: Same thing. Now, NEGATIVE 4 would be the a. Multiply -4 inside the absolute value, 2 and -3t. So, -4 x 2 is -8. -4 x -3t= 12t. So, what's left is 5 + -8 + 12t=21. 5-8 is -3. ADD 3 on each side: {{{ -3 + 3 + 12t= 21 + 3}}} simplify: what is left is 12t=24. Divide 12 on each side: {{{12t/12=24/12}}}. 24/12 is 2. So, t=2.

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