-3(-5v+8)-v=4(v-9)-4

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Solution for -3(-5v+8)-v=4(v-9)-4 equation:


Simplifying
-3(-5v + 8) + -1v = 4(v + -9) + -4

Reorder the terms:
-3(8 + -5v) + -1v = 4(v + -9) + -4
(8 * -3 + -5v * -3) + -1v = 4(v + -9) + -4
(-24 + 15v) + -1v = 4(v + -9) + -4

Combine like terms: 15v + -1v = 14v
-24 + 14v = 4(v + -9) + -4

Reorder the terms:
-24 + 14v = 4(-9 + v) + -4
-24 + 14v = (-9 * 4 + v * 4) + -4
-24 + 14v = (-36 + 4v) + -4

Reorder the terms:
-24 + 14v = -36 + -4 + 4v

Combine like terms: -36 + -4 = -40
-24 + 14v = -40 + 4v

Solving
-24 + 14v = -40 + 4v

Solving for variable 'v'.

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

Add '-4v' to each side of the equation.
-24 + 14v + -4v = -40 + 4v + -4v

Combine like terms: 14v + -4v = 10v
-24 + 10v = -40 + 4v + -4v

Combine like terms: 4v + -4v = 0
-24 + 10v = -40 + 0
-24 + 10v = -40

Add '24' to each side of the equation.
-24 + 24 + 10v = -40 + 24

Combine like terms: -24 + 24 = 0
0 + 10v = -40 + 24
10v = -40 + 24

Combine like terms: -40 + 24 = -16
10v = -16

Divide each side by '10'.
v = -1.6

Simplifying
v = -1.6

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