3(v+8)=-3(4v-2)+5v

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Solution for 3(v+8)=-3(4v-2)+5v equation:


Simplifying
3(v + 8) = -3(4v + -2) + 5v

Reorder the terms:
3(8 + v) = -3(4v + -2) + 5v
(8 * 3 + v * 3) = -3(4v + -2) + 5v
(24 + 3v) = -3(4v + -2) + 5v

Reorder the terms:
24 + 3v = -3(-2 + 4v) + 5v
24 + 3v = (-2 * -3 + 4v * -3) + 5v
24 + 3v = (6 + -12v) + 5v

Combine like terms: -12v + 5v = -7v
24 + 3v = 6 + -7v

Solving
24 + 3v = 6 + -7v

Solving for variable 'v'.

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

Add '7v' to each side of the equation.
24 + 3v + 7v = 6 + -7v + 7v

Combine like terms: 3v + 7v = 10v
24 + 10v = 6 + -7v + 7v

Combine like terms: -7v + 7v = 0
24 + 10v = 6 + 0
24 + 10v = 6

Add '-24' to each side of the equation.
24 + -24 + 10v = 6 + -24

Combine like terms: 24 + -24 = 0
0 + 10v = 6 + -24
10v = 6 + -24

Combine like terms: 6 + -24 = -18
10v = -18

Divide each side by '10'.
v = -1.8

Simplifying
v = -1.8

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