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

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


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

Reorder the terms:
-2(8 + -5v) + -3v = 3(v + -7) + -5
(8 * -2 + -5v * -2) + -3v = 3(v + -7) + -5
(-16 + 10v) + -3v = 3(v + -7) + -5

Combine like terms: 10v + -3v = 7v
-16 + 7v = 3(v + -7) + -5

Reorder the terms:
-16 + 7v = 3(-7 + v) + -5
-16 + 7v = (-7 * 3 + v * 3) + -5
-16 + 7v = (-21 + 3v) + -5

Reorder the terms:
-16 + 7v = -21 + -5 + 3v

Combine like terms: -21 + -5 = -26
-16 + 7v = -26 + 3v

Solving
-16 + 7v = -26 + 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.
-16 + 7v + -3v = -26 + 3v + -3v

Combine like terms: 7v + -3v = 4v
-16 + 4v = -26 + 3v + -3v

Combine like terms: 3v + -3v = 0
-16 + 4v = -26 + 0
-16 + 4v = -26

Add '16' to each side of the equation.
-16 + 16 + 4v = -26 + 16

Combine like terms: -16 + 16 = 0
0 + 4v = -26 + 16
4v = -26 + 16

Combine like terms: -26 + 16 = -10
4v = -10

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

Simplifying
v = -2.5

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