-2(5v-3)+2v=7+2(5v-8)

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Solution for -2(5v-3)+2v=7+2(5v-8) equation:


Simplifying
-2(5v + -3) + 2v = 7 + 2(5v + -8)

Reorder the terms:
-2(-3 + 5v) + 2v = 7 + 2(5v + -8)
(-3 * -2 + 5v * -2) + 2v = 7 + 2(5v + -8)
(6 + -10v) + 2v = 7 + 2(5v + -8)

Combine like terms: -10v + 2v = -8v
6 + -8v = 7 + 2(5v + -8)

Reorder the terms:
6 + -8v = 7 + 2(-8 + 5v)
6 + -8v = 7 + (-8 * 2 + 5v * 2)
6 + -8v = 7 + (-16 + 10v)

Combine like terms: 7 + -16 = -9
6 + -8v = -9 + 10v

Solving
6 + -8v = -9 + 10v

Solving for variable 'v'.

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

Add '-10v' to each side of the equation.
6 + -8v + -10v = -9 + 10v + -10v

Combine like terms: -8v + -10v = -18v
6 + -18v = -9 + 10v + -10v

Combine like terms: 10v + -10v = 0
6 + -18v = -9 + 0
6 + -18v = -9

Add '-6' to each side of the equation.
6 + -6 + -18v = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -18v = -9 + -6
-18v = -9 + -6

Combine like terms: -9 + -6 = -15
-18v = -15

Divide each side by '-18'.
v = 0.8333333333

Simplifying
v = 0.8333333333

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