-5(-6v+7)-9v=6(v-4)-5

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Solution for -5(-6v+7)-9v=6(v-4)-5 equation:


Simplifying
-5(-6v + 7) + -9v = 6(v + -4) + -5

Reorder the terms:
-5(7 + -6v) + -9v = 6(v + -4) + -5
(7 * -5 + -6v * -5) + -9v = 6(v + -4) + -5
(-35 + 30v) + -9v = 6(v + -4) + -5

Combine like terms: 30v + -9v = 21v
-35 + 21v = 6(v + -4) + -5

Reorder the terms:
-35 + 21v = 6(-4 + v) + -5
-35 + 21v = (-4 * 6 + v * 6) + -5
-35 + 21v = (-24 + 6v) + -5

Reorder the terms:
-35 + 21v = -24 + -5 + 6v

Combine like terms: -24 + -5 = -29
-35 + 21v = -29 + 6v

Solving
-35 + 21v = -29 + 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.
-35 + 21v + -6v = -29 + 6v + -6v

Combine like terms: 21v + -6v = 15v
-35 + 15v = -29 + 6v + -6v

Combine like terms: 6v + -6v = 0
-35 + 15v = -29 + 0
-35 + 15v = -29

Add '35' to each side of the equation.
-35 + 35 + 15v = -29 + 35

Combine like terms: -35 + 35 = 0
0 + 15v = -29 + 35
15v = -29 + 35

Combine like terms: -29 + 35 = 6
15v = 6

Divide each side by '15'.
v = 0.4

Simplifying
v = 0.4

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