2(v-4)-10=-2(-1+4v)

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Solution for 2(v-4)-10=-2(-1+4v) equation:


Simplifying
2(v + -4) + -10 = -2(-1 + 4v)

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

Reorder the terms:
-8 + -10 + 2v = -2(-1 + 4v)

Combine like terms: -8 + -10 = -18
-18 + 2v = -2(-1 + 4v)
-18 + 2v = (-1 * -2 + 4v * -2)
-18 + 2v = (2 + -8v)

Solving
-18 + 2v = 2 + -8v

Solving for variable 'v'.

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

Add '8v' to each side of the equation.
-18 + 2v + 8v = 2 + -8v + 8v

Combine like terms: 2v + 8v = 10v
-18 + 10v = 2 + -8v + 8v

Combine like terms: -8v + 8v = 0
-18 + 10v = 2 + 0
-18 + 10v = 2

Add '18' to each side of the equation.
-18 + 18 + 10v = 2 + 18

Combine like terms: -18 + 18 = 0
0 + 10v = 2 + 18
10v = 2 + 18

Combine like terms: 2 + 18 = 20
10v = 20

Divide each side by '10'.
v = 2

Simplifying
v = 2

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