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

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


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

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

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

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

Combine like terms: 2 + -2 = 0
10 + 4v = 0 + 8v
10 + 4v = 8v

Solving
10 + 4v = 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.
10 + 4v + -8v = 8v + -8v

Combine like terms: 4v + -8v = -4v
10 + -4v = 8v + -8v

Combine like terms: 8v + -8v = 0
10 + -4v = 0

Add '-10' to each side of the equation.
10 + -10 + -4v = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -4v = 0 + -10
-4v = 0 + -10

Combine like terms: 0 + -10 = -10
-4v = -10

Divide each side by '-4'.
v = 2.5

Simplifying
v = 2.5

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