-107=6(v-5)+5v

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Solution for -107=6(v-5)+5v equation: 


Simplifying
-107 = 6(v + -5) + 5v

Reorder the terms:
-107 = 6(-5 + v) + 5v
-107 = (-5 * 6 + v * 6) + 5v
-107 = (-30 + 6v) + 5v

Combine like terms: 6v + 5v = 11v
-107 = -30 + 11v

Solving
-107 = -30 + 11v

Solving for variable 'v'.

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

Add '-11v' to each side of the equation.
-107 + -11v = -30 + 11v + -11v

Combine like terms: 11v + -11v = 0
-107 + -11v = -30 + 0
-107 + -11v = -30

Add '107' to each side of the equation.
-107 + 107 + -11v = -30 + 107

Combine like terms: -107 + 107 = 0
0 + -11v = -30 + 107
-11v = -30 + 107

Combine like terms: -30 + 107 = 77
-11v = 77

Divide each side by '-11'.
v = -7

Simplifying
v = -7

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