5(2v+7)+3(v-4)=61

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Solution for 5(2v+7)+3(v-4)=61 equation:


Simplifying
5(2v + 7) + 3(v + -4) = 61

Reorder the terms:
5(7 + 2v) + 3(v + -4) = 61
(7 * 5 + 2v * 5) + 3(v + -4) = 61
(35 + 10v) + 3(v + -4) = 61

Reorder the terms:
35 + 10v + 3(-4 + v) = 61
35 + 10v + (-4 * 3 + v * 3) = 61
35 + 10v + (-12 + 3v) = 61

Reorder the terms:
35 + -12 + 10v + 3v = 61

Combine like terms: 35 + -12 = 23
23 + 10v + 3v = 61

Combine like terms: 10v + 3v = 13v
23 + 13v = 61

Solving
23 + 13v = 61

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '-23' to each side of the equation.
23 + -23 + 13v = 61 + -23

Combine like terms: 23 + -23 = 0
0 + 13v = 61 + -23
13v = 61 + -23

Combine like terms: 61 + -23 = 38
13v = 38

Divide each side by '13'.
v = 2.923076923

Simplifying
v = 2.923076923

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