3(v+6)-6(v-4)=57

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Solution for 3(v+6)-6(v-4)=57 equation: 


Simplifying
3(v + 6) + -6(v + -4) = 57

Reorder the terms:
3(6 + v) + -6(v + -4) = 57
(6 * 3 + v * 3) + -6(v + -4) = 57
(18 + 3v) + -6(v + -4) = 57

Reorder the terms:
18 + 3v + -6(-4 + v) = 57
18 + 3v + (-4 * -6 + v * -6) = 57
18 + 3v + (24 + -6v) = 57

Reorder the terms:
18 + 24 + 3v + -6v = 57

Combine like terms: 18 + 24 = 42
42 + 3v + -6v = 57

Combine like terms: 3v + -6v = -3v
42 + -3v = 57

Solving
42 + -3v = 57

Solving for variable 'v'.

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

Add '-42' to each side of the equation.
42 + -42 + -3v = 57 + -42

Combine like terms: 42 + -42 = 0
0 + -3v = 57 + -42
-3v = 57 + -42

Combine like terms: 57 + -42 = 15
-3v = 15

Divide each side by '-3'.
v = -5

Simplifying
v = -5

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