8(v-7)+3v=-32+7v

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Solution for 8(v-7)+3v=-32+7v equation: 


Simplifying
8(v + -7) + 3v = -32 + 7v

Reorder the terms:
8(-7 + v) + 3v = -32 + 7v
(-7 * 8 + v * 8) + 3v = -32 + 7v
(-56 + 8v) + 3v = -32 + 7v

Combine like terms: 8v + 3v = 11v
-56 + 11v = -32 + 7v

Solving
-56 + 11v = -32 + 7v

Solving for variable 'v'.

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

Add '-7v' to each side of the equation.
-56 + 11v + -7v = -32 + 7v + -7v

Combine like terms: 11v + -7v = 4v
-56 + 4v = -32 + 7v + -7v

Combine like terms: 7v + -7v = 0
-56 + 4v = -32 + 0
-56 + 4v = -32

Add '56' to each side of the equation.
-56 + 56 + 4v = -32 + 56

Combine like terms: -56 + 56 = 0
0 + 4v = -32 + 56
4v = -32 + 56

Combine like terms: -32 + 56 = 24
4v = 24

Divide each side by '4'.
v = 6

Simplifying
v = 6

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