-19(5v-19)=31+15v

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Solution for -19(5v-19)=31+15v equation:


Simplifying
-19(5v + -19) = 31 + 15v

Reorder the terms:
-19(-19 + 5v) = 31 + 15v
(-19 * -19 + 5v * -19) = 31 + 15v
(361 + -95v) = 31 + 15v

Solving
361 + -95v = 31 + 15v

Solving for variable 'v'.

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

Add '-15v' to each side of the equation.
361 + -95v + -15v = 31 + 15v + -15v

Combine like terms: -95v + -15v = -110v
361 + -110v = 31 + 15v + -15v

Combine like terms: 15v + -15v = 0
361 + -110v = 31 + 0
361 + -110v = 31

Add '-361' to each side of the equation.
361 + -361 + -110v = 31 + -361

Combine like terms: 361 + -361 = 0
0 + -110v = 31 + -361
-110v = 31 + -361

Combine like terms: 31 + -361 = -330
-110v = -330

Divide each side by '-110'.
v = 3

Simplifying
v = 3

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