10(1+6v)=12(8v-7)+11v

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Solution for 10(1+6v)=12(8v-7)+11v equation: 


Simplifying
10(1 + 6v) = 12(8v + -7) + 11v
(1 * 10 + 6v * 10) = 12(8v + -7) + 11v
(10 + 60v) = 12(8v + -7) + 11v

Reorder the terms:
10 + 60v = 12(-7 + 8v) + 11v
10 + 60v = (-7 * 12 + 8v * 12) + 11v
10 + 60v = (-84 + 96v) + 11v

Combine like terms: 96v + 11v = 107v
10 + 60v = -84 + 107v

Solving
10 + 60v = -84 + 107v

Solving for variable 'v'.

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

Add '-107v' to each side of the equation.
10 + 60v + -107v = -84 + 107v + -107v

Combine like terms: 60v + -107v = -47v
10 + -47v = -84 + 107v + -107v

Combine like terms: 107v + -107v = 0
10 + -47v = -84 + 0
10 + -47v = -84

Add '-10' to each side of the equation.
10 + -10 + -47v = -84 + -10

Combine like terms: 10 + -10 = 0
0 + -47v = -84 + -10
-47v = -84 + -10

Combine like terms: -84 + -10 = -94
-47v = -94

Divide each side by '-47'.
v = 2

Simplifying
v = 2

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