7v+11=-8(v-7)

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Solution for 7v+11=-8(v-7) equation: 


Simplifying
7v + 11 = -8(v + -7)

Reorder the terms:
11 + 7v = -8(v + -7)

Reorder the terms:
11 + 7v = -8(-7 + v)
11 + 7v = (-7 * -8 + v * -8)
11 + 7v = (56 + -8v)

Solving
11 + 7v = 56 + -8v

Solving for variable 'v'.

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

Add '8v' to each side of the equation.
11 + 7v + 8v = 56 + -8v + 8v

Combine like terms: 7v + 8v = 15v
11 + 15v = 56 + -8v + 8v

Combine like terms: -8v + 8v = 0
11 + 15v = 56 + 0
11 + 15v = 56

Add '-11' to each side of the equation.
11 + -11 + 15v = 56 + -11

Combine like terms: 11 + -11 = 0
0 + 15v = 56 + -11
15v = 56 + -11

Combine like terms: 56 + -11 = 45
15v = 45

Divide each side by '15'.
v = 3

Simplifying
v = 3

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