-2(5v+7)-v=3(v-1)-8

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Solution for -2(5v+7)-v=3(v-1)-8 equation:


Simplifying
-2(5v + 7) + -1v = 3(v + -1) + -8

Reorder the terms:
-2(7 + 5v) + -1v = 3(v + -1) + -8
(7 * -2 + 5v * -2) + -1v = 3(v + -1) + -8
(-14 + -10v) + -1v = 3(v + -1) + -8

Combine like terms: -10v + -1v = -11v
-14 + -11v = 3(v + -1) + -8

Reorder the terms:
-14 + -11v = 3(-1 + v) + -8
-14 + -11v = (-1 * 3 + v * 3) + -8
-14 + -11v = (-3 + 3v) + -8

Reorder the terms:
-14 + -11v = -3 + -8 + 3v

Combine like terms: -3 + -8 = -11
-14 + -11v = -11 + 3v

Solving
-14 + -11v = -11 + 3v

Solving for variable 'v'.

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

Add '-3v' to each side of the equation.
-14 + -11v + -3v = -11 + 3v + -3v

Combine like terms: -11v + -3v = -14v
-14 + -14v = -11 + 3v + -3v

Combine like terms: 3v + -3v = 0
-14 + -14v = -11 + 0
-14 + -14v = -11

Add '14' to each side of the equation.
-14 + 14 + -14v = -11 + 14

Combine like terms: -14 + 14 = 0
0 + -14v = -11 + 14
-14v = -11 + 14

Combine like terms: -11 + 14 = 3
-14v = 3

Divide each side by '-14'.
v = -0.2142857143

Simplifying
v = -0.2142857143

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