-6v+5(v+3)=-3+6(v-4)

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Solution for -6v+5(v+3)=-3+6(v-4) equation:


Simplifying
-6v + 5(v + 3) = -3 + 6(v + -4)

Reorder the terms:
-6v + 5(3 + v) = -3 + 6(v + -4)
-6v + (3 * 5 + v * 5) = -3 + 6(v + -4)
-6v + (15 + 5v) = -3 + 6(v + -4)

Reorder the terms:
15 + -6v + 5v = -3 + 6(v + -4)

Combine like terms: -6v + 5v = -1v
15 + -1v = -3 + 6(v + -4)

Reorder the terms:
15 + -1v = -3 + 6(-4 + v)
15 + -1v = -3 + (-4 * 6 + v * 6)
15 + -1v = -3 + (-24 + 6v)

Combine like terms: -3 + -24 = -27
15 + -1v = -27 + 6v

Solving
15 + -1v = -27 + 6v

Solving for variable 'v'.

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

Add '-6v' to each side of the equation.
15 + -1v + -6v = -27 + 6v + -6v

Combine like terms: -1v + -6v = -7v
15 + -7v = -27 + 6v + -6v

Combine like terms: 6v + -6v = 0
15 + -7v = -27 + 0
15 + -7v = -27

Add '-15' to each side of the equation.
15 + -15 + -7v = -27 + -15

Combine like terms: 15 + -15 = 0
0 + -7v = -27 + -15
-7v = -27 + -15

Combine like terms: -27 + -15 = -42
-7v = -42

Divide each side by '-7'.
v = 6

Simplifying
v = 6

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