7(2+v)-8(6v-4)=-36

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Solution for 7(2+v)-8(6v-4)=-36 equation: 


Simplifying
7(2 + v) + -8(6v + -4) = -36
(2 * 7 + v * 7) + -8(6v + -4) = -36
(14 + 7v) + -8(6v + -4) = -36

Reorder the terms:
14 + 7v + -8(-4 + 6v) = -36
14 + 7v + (-4 * -8 + 6v * -8) = -36
14 + 7v + (32 + -48v) = -36

Reorder the terms:
14 + 32 + 7v + -48v = -36

Combine like terms: 14 + 32 = 46
46 + 7v + -48v = -36

Combine like terms: 7v + -48v = -41v
46 + -41v = -36

Solving
46 + -41v = -36

Solving for variable 'v'.

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

Add '-46' to each side of the equation.
46 + -46 + -41v = -36 + -46

Combine like terms: 46 + -46 = 0
0 + -41v = -36 + -46
-41v = -36 + -46

Combine like terms: -36 + -46 = -82
-41v = -82

Divide each side by '-41'.
v = 2

Simplifying
v = 2

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