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

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


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

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

Combine like terms: -4v + 5v = 1v
2 + 1v = 1 + 3(5v + -1)

Reorder the terms:
2 + 1v = 1 + 3(-1 + 5v)
2 + 1v = 1 + (-1 * 3 + 5v * 3)
2 + 1v = 1 + (-3 + 15v)

Combine like terms: 1 + -3 = -2
2 + 1v = -2 + 15v

Solving
2 + 1v = -2 + 15v

Solving for variable 'v'.

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

Add '-15v' to each side of the equation.
2 + 1v + -15v = -2 + 15v + -15v

Combine like terms: 1v + -15v = -14v
2 + -14v = -2 + 15v + -15v

Combine like terms: 15v + -15v = 0
2 + -14v = -2 + 0
2 + -14v = -2

Add '-2' to each side of the equation.
2 + -2 + -14v = -2 + -2

Combine like terms: 2 + -2 = 0
0 + -14v = -2 + -2
-14v = -2 + -2

Combine like terms: -2 + -2 = -4
-14v = -4

Divide each side by '-14'.
v = 0.2857142857

Simplifying
v = 0.2857142857

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