7(v+9)=-6v-15

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Solution for 7(v+9)=-6v-15 equation: 


Simplifying
7(v + 9) = -6v + -15

Reorder the terms:
7(9 + v) = -6v + -15
(9 * 7 + v * 7) = -6v + -15
(63 + 7v) = -6v + -15

Reorder the terms:
63 + 7v = -15 + -6v

Solving
63 + 7v = -15 + -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.
63 + 7v + 6v = -15 + -6v + 6v

Combine like terms: 7v + 6v = 13v
63 + 13v = -15 + -6v + 6v

Combine like terms: -6v + 6v = 0
63 + 13v = -15 + 0
63 + 13v = -15

Add '-63' to each side of the equation.
63 + -63 + 13v = -15 + -63

Combine like terms: 63 + -63 = 0
0 + 13v = -15 + -63
13v = -15 + -63

Combine like terms: -15 + -63 = -78
13v = -78

Divide each side by '13'.
v = -6

Simplifying
v = -6

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