2(v+5)=-2(7v-4)+8v

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Solution for 2(v+5)=-2(7v-4)+8v equation:


Simplifying
2(v + 5) = -2(7v + -4) + 8v

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

Reorder the terms:
10 + 2v = -2(-4 + 7v) + 8v
10 + 2v = (-4 * -2 + 7v * -2) + 8v
10 + 2v = (8 + -14v) + 8v

Combine like terms: -14v + 8v = -6v
10 + 2v = 8 + -6v

Solving
10 + 2v = 8 + -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.
10 + 2v + 6v = 8 + -6v + 6v

Combine like terms: 2v + 6v = 8v
10 + 8v = 8 + -6v + 6v

Combine like terms: -6v + 6v = 0
10 + 8v = 8 + 0
10 + 8v = 8

Add '-10' to each side of the equation.
10 + -10 + 8v = 8 + -10

Combine like terms: 10 + -10 = 0
0 + 8v = 8 + -10
8v = 8 + -10

Combine like terms: 8 + -10 = -2
8v = -2

Divide each side by '8'.
v = -0.25

Simplifying
v = -0.25

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