1=-7(v-8)+6(5+4v)

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Solution for 1=-7(v-8)+6(5+4v) equation: 


Simplifying
1 = -7(v + -8) + 6(5 + 4v)

Reorder the terms:
1 = -7(-8 + v) + 6(5 + 4v)
1 = (-8 * -7 + v * -7) + 6(5 + 4v)
1 = (56 + -7v) + 6(5 + 4v)
1 = 56 + -7v + (5 * 6 + 4v * 6)
1 = 56 + -7v + (30 + 24v)

Reorder the terms:
1 = 56 + 30 + -7v + 24v

Combine like terms: 56 + 30 = 86
1 = 86 + -7v + 24v

Combine like terms: -7v + 24v = 17v
1 = 86 + 17v

Solving
1 = 86 + 17v

Solving for variable 'v'.

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

Add '-17v' to each side of the equation.
1 + -17v = 86 + 17v + -17v

Combine like terms: 17v + -17v = 0
1 + -17v = 86 + 0
1 + -17v = 86

Add '-1' to each side of the equation.
1 + -1 + -17v = 86 + -1

Combine like terms: 1 + -1 = 0
0 + -17v = 86 + -1
-17v = 86 + -1

Combine like terms: 86 + -1 = 85
-17v = 85

Divide each side by '-17'.
v = -5

Simplifying
v = -5

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