4(6-4v)+8(v+60)=-6v+4v

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Solution for 4(6-4v)+8(v+60)=-6v+4v equation:


Simplifying
4(6 + -4v) + 8(v + 60) = -6v + 4v
(6 * 4 + -4v * 4) + 8(v + 60) = -6v + 4v
(24 + -16v) + 8(v + 60) = -6v + 4v

Reorder the terms:
24 + -16v + 8(60 + v) = -6v + 4v
24 + -16v + (60 * 8 + v * 8) = -6v + 4v
24 + -16v + (480 + 8v) = -6v + 4v

Reorder the terms:
24 + 480 + -16v + 8v = -6v + 4v

Combine like terms: 24 + 480 = 504
504 + -16v + 8v = -6v + 4v

Combine like terms: -16v + 8v = -8v
504 + -8v = -6v + 4v

Combine like terms: -6v + 4v = -2v
504 + -8v = -2v

Solving
504 + -8v = -2v

Solving for variable 'v'.

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

Add '2v' to each side of the equation.
504 + -8v + 2v = -2v + 2v

Combine like terms: -8v + 2v = -6v
504 + -6v = -2v + 2v

Combine like terms: -2v + 2v = 0
504 + -6v = 0

Add '-504' to each side of the equation.
504 + -504 + -6v = 0 + -504

Combine like terms: 504 + -504 = 0
0 + -6v = 0 + -504
-6v = 0 + -504

Combine like terms: 0 + -504 = -504
-6v = -504

Divide each side by '-6'.
v = 84

Simplifying
v = 84

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