-3(-5v+9)-7v=2(v-6)-7

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Solution for -3(-5v+9)-7v=2(v-6)-7 equation:


Simplifying
-3(-5v + 9) + -7v = 2(v + -6) + -7

Reorder the terms:
-3(9 + -5v) + -7v = 2(v + -6) + -7
(9 * -3 + -5v * -3) + -7v = 2(v + -6) + -7
(-27 + 15v) + -7v = 2(v + -6) + -7

Combine like terms: 15v + -7v = 8v
-27 + 8v = 2(v + -6) + -7

Reorder the terms:
-27 + 8v = 2(-6 + v) + -7
-27 + 8v = (-6 * 2 + v * 2) + -7
-27 + 8v = (-12 + 2v) + -7

Reorder the terms:
-27 + 8v = -12 + -7 + 2v

Combine like terms: -12 + -7 = -19
-27 + 8v = -19 + 2v

Solving
-27 + 8v = -19 + 2v

Solving for variable 'v'.

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

Add '-2v' to each side of the equation.
-27 + 8v + -2v = -19 + 2v + -2v

Combine like terms: 8v + -2v = 6v
-27 + 6v = -19 + 2v + -2v

Combine like terms: 2v + -2v = 0
-27 + 6v = -19 + 0
-27 + 6v = -19

Add '27' to each side of the equation.
-27 + 27 + 6v = -19 + 27

Combine like terms: -27 + 27 = 0
0 + 6v = -19 + 27
6v = -19 + 27

Combine like terms: -19 + 27 = 8
6v = 8

Divide each side by '6'.
v = 1.333333333

Simplifying
v = 1.333333333

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