-5(3v-1)+5v=7+2(3v-4)

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Solution for -5(3v-1)+5v=7+2(3v-4) equation:


Simplifying
-5(3v + -1) + 5v = 7 + 2(3v + -4)

Reorder the terms:
-5(-1 + 3v) + 5v = 7 + 2(3v + -4)
(-1 * -5 + 3v * -5) + 5v = 7 + 2(3v + -4)
(5 + -15v) + 5v = 7 + 2(3v + -4)

Combine like terms: -15v + 5v = -10v
5 + -10v = 7 + 2(3v + -4)

Reorder the terms:
5 + -10v = 7 + 2(-4 + 3v)
5 + -10v = 7 + (-4 * 2 + 3v * 2)
5 + -10v = 7 + (-8 + 6v)

Combine like terms: 7 + -8 = -1
5 + -10v = -1 + 6v

Solving
5 + -10v = -1 + 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.
5 + -10v + -6v = -1 + 6v + -6v

Combine like terms: -10v + -6v = -16v
5 + -16v = -1 + 6v + -6v

Combine like terms: 6v + -6v = 0
5 + -16v = -1 + 0
5 + -16v = -1

Add '-5' to each side of the equation.
5 + -5 + -16v = -1 + -5

Combine like terms: 5 + -5 = 0
0 + -16v = -1 + -5
-16v = -1 + -5

Combine like terms: -1 + -5 = -6
-16v = -6

Divide each side by '-16'.
v = 0.375

Simplifying
v = 0.375

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