20(v+3)-40=4(4v+2)-10

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Solution for 20(v+3)-40=4(4v+2)-10 equation: 


Simplifying
20(v + 3) + -40 = 4(4v + 2) + -10

Reorder the terms:
20(3 + v) + -40 = 4(4v + 2) + -10
(3 * 20 + v * 20) + -40 = 4(4v + 2) + -10
(60 + 20v) + -40 = 4(4v + 2) + -10

Reorder the terms:
60 + -40 + 20v = 4(4v + 2) + -10

Combine like terms: 60 + -40 = 20
20 + 20v = 4(4v + 2) + -10

Reorder the terms:
20 + 20v = 4(2 + 4v) + -10
20 + 20v = (2 * 4 + 4v * 4) + -10
20 + 20v = (8 + 16v) + -10

Reorder the terms:
20 + 20v = 8 + -10 + 16v

Combine like terms: 8 + -10 = -2
20 + 20v = -2 + 16v

Solving
20 + 20v = -2 + 16v

Solving for variable 'v'.

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

Add '-16v' to each side of the equation.
20 + 20v + -16v = -2 + 16v + -16v

Combine like terms: 20v + -16v = 4v
20 + 4v = -2 + 16v + -16v

Combine like terms: 16v + -16v = 0
20 + 4v = -2 + 0
20 + 4v = -2

Add '-20' to each side of the equation.
20 + -20 + 4v = -2 + -20

Combine like terms: 20 + -20 = 0
0 + 4v = -2 + -20
4v = -2 + -20

Combine like terms: -2 + -20 = -22
4v = -22

Divide each side by '4'.
v = -5.5

Simplifying
v = -5.5

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