-2(5v-3)+8=-4(1+4v)

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Solution for -2(5v-3)+8=-4(1+4v) equation:


Simplifying
-2(5v + -3) + 8 = -4(1 + 4v)

Reorder the terms:
-2(-3 + 5v) + 8 = -4(1 + 4v)
(-3 * -2 + 5v * -2) + 8 = -4(1 + 4v)
(6 + -10v) + 8 = -4(1 + 4v)

Reorder the terms:
6 + 8 + -10v = -4(1 + 4v)

Combine like terms: 6 + 8 = 14
14 + -10v = -4(1 + 4v)
14 + -10v = (1 * -4 + 4v * -4)
14 + -10v = (-4 + -16v)

Solving
14 + -10v = -4 + -16v

Solving for variable 'v'.

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

Add '16v' to each side of the equation.
14 + -10v + 16v = -4 + -16v + 16v

Combine like terms: -10v + 16v = 6v
14 + 6v = -4 + -16v + 16v

Combine like terms: -16v + 16v = 0
14 + 6v = -4 + 0
14 + 6v = -4

Add '-14' to each side of the equation.
14 + -14 + 6v = -4 + -14

Combine like terms: 14 + -14 = 0
0 + 6v = -4 + -14
6v = -4 + -14

Combine like terms: -4 + -14 = -18
6v = -18

Divide each side by '6'.
v = -3

Simplifying
v = -3

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