-8(-6v-19)+15=19v+14v-13

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Solution for -8(-6v-19)+15=19v+14v-13 equation:


Simplifying
-8(-6v + -19) + 15 = 19v + 14v + -13

Reorder the terms:
-8(-19 + -6v) + 15 = 19v + 14v + -13
(-19 * -8 + -6v * -8) + 15 = 19v + 14v + -13
(152 + 48v) + 15 = 19v + 14v + -13

Reorder the terms:
152 + 15 + 48v = 19v + 14v + -13

Combine like terms: 152 + 15 = 167
167 + 48v = 19v + 14v + -13

Reorder the terms:
167 + 48v = -13 + 19v + 14v

Combine like terms: 19v + 14v = 33v
167 + 48v = -13 + 33v

Solving
167 + 48v = -13 + 33v

Solving for variable 'v'.

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

Add '-33v' to each side of the equation.
167 + 48v + -33v = -13 + 33v + -33v

Combine like terms: 48v + -33v = 15v
167 + 15v = -13 + 33v + -33v

Combine like terms: 33v + -33v = 0
167 + 15v = -13 + 0
167 + 15v = -13

Add '-167' to each side of the equation.
167 + -167 + 15v = -13 + -167

Combine like terms: 167 + -167 = 0
0 + 15v = -13 + -167
15v = -13 + -167

Combine like terms: -13 + -167 = -180
15v = -180

Divide each side by '15'.
v = -12

Simplifying
v = -12

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