-3(2v-1)+5v=2+3(3v-5)

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Solution for -3(2v-1)+5v=2+3(3v-5) equation:


Simplifying
-3(2v + -1) + 5v = 2 + 3(3v + -5)

Reorder the terms:
-3(-1 + 2v) + 5v = 2 + 3(3v + -5)
(-1 * -3 + 2v * -3) + 5v = 2 + 3(3v + -5)
(3 + -6v) + 5v = 2 + 3(3v + -5)

Combine like terms: -6v + 5v = -1v
3 + -1v = 2 + 3(3v + -5)

Reorder the terms:
3 + -1v = 2 + 3(-5 + 3v)
3 + -1v = 2 + (-5 * 3 + 3v * 3)
3 + -1v = 2 + (-15 + 9v)

Combine like terms: 2 + -15 = -13
3 + -1v = -13 + 9v

Solving
3 + -1v = -13 + 9v

Solving for variable 'v'.

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

Add '-9v' to each side of the equation.
3 + -1v + -9v = -13 + 9v + -9v

Combine like terms: -1v + -9v = -10v
3 + -10v = -13 + 9v + -9v

Combine like terms: 9v + -9v = 0
3 + -10v = -13 + 0
3 + -10v = -13

Add '-3' to each side of the equation.
3 + -3 + -10v = -13 + -3

Combine like terms: 3 + -3 = 0
0 + -10v = -13 + -3
-10v = -13 + -3

Combine like terms: -13 + -3 = -16
-10v = -16

Divide each side by '-10'.
v = 1.6

Simplifying
v = 1.6

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