-14=7(3+5v)-6(-6-6v)

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Solution for -14=7(3+5v)-6(-6-6v) equation:


Simplifying
-14 = 7(3 + 5v) + -6(-6 + -6v)
-14 = (3 * 7 + 5v * 7) + -6(-6 + -6v)
-14 = (21 + 35v) + -6(-6 + -6v)
-14 = 21 + 35v + (-6 * -6 + -6v * -6)
-14 = 21 + 35v + (36 + 36v)

Reorder the terms:
-14 = 21 + 36 + 35v + 36v

Combine like terms: 21 + 36 = 57
-14 = 57 + 35v + 36v

Combine like terms: 35v + 36v = 71v
-14 = 57 + 71v

Solving
-14 = 57 + 71v

Solving for variable 'v'.

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

Add '-71v' to each side of the equation.
-14 + -71v = 57 + 71v + -71v

Combine like terms: 71v + -71v = 0
-14 + -71v = 57 + 0
-14 + -71v = 57

Add '14' to each side of the equation.
-14 + 14 + -71v = 57 + 14

Combine like terms: -14 + 14 = 0
0 + -71v = 57 + 14
-71v = 57 + 14

Combine like terms: 57 + 14 = 71
-71v = 71

Divide each side by '-71'.
v = -1

Simplifying
v = -1

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