v+11=-6(v-3)

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Solution for v+11=-6(v-3) equation:


Simplifying
v + 11 = -6(v + -3)

Reorder the terms:
11 + v = -6(v + -3)

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

Solving
11 + v = 18 + -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.
11 + v + 6v = 18 + -6v + 6v

Combine like terms: v + 6v = 7v
11 + 7v = 18 + -6v + 6v

Combine like terms: -6v + 6v = 0
11 + 7v = 18 + 0
11 + 7v = 18

Add '-11' to each side of the equation.
11 + -11 + 7v = 18 + -11

Combine like terms: 11 + -11 = 0
0 + 7v = 18 + -11
7v = 18 + -11

Combine like terms: 18 + -11 = 7
7v = 7

Divide each side by '7'.
v = 1

Simplifying
v = 1

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