4(v-5)-1=-3(-6v+6)-8v

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Solution for 4(v-5)-1=-3(-6v+6)-8v equation:


Simplifying
4(v + -5) + -1 = -3(-6v + 6) + -8v

Reorder the terms:
4(-5 + v) + -1 = -3(-6v + 6) + -8v
(-5 * 4 + v * 4) + -1 = -3(-6v + 6) + -8v
(-20 + 4v) + -1 = -3(-6v + 6) + -8v

Reorder the terms:
-20 + -1 + 4v = -3(-6v + 6) + -8v

Combine like terms: -20 + -1 = -21
-21 + 4v = -3(-6v + 6) + -8v

Reorder the terms:
-21 + 4v = -3(6 + -6v) + -8v
-21 + 4v = (6 * -3 + -6v * -3) + -8v
-21 + 4v = (-18 + 18v) + -8v

Combine like terms: 18v + -8v = 10v
-21 + 4v = -18 + 10v

Solving
-21 + 4v = -18 + 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.
-21 + 4v + -10v = -18 + 10v + -10v

Combine like terms: 4v + -10v = -6v
-21 + -6v = -18 + 10v + -10v

Combine like terms: 10v + -10v = 0
-21 + -6v = -18 + 0
-21 + -6v = -18

Add '21' to each side of the equation.
-21 + 21 + -6v = -18 + 21

Combine like terms: -21 + 21 = 0
0 + -6v = -18 + 21
-6v = -18 + 21

Combine like terms: -18 + 21 = 3
-6v = 3

Divide each side by '-6'.
v = -0.5

Simplifying
v = -0.5

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