8-8(3v+10)=6(4-5v)

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Solution for 8-8(3v+10)=6(4-5v) equation:


Simplifying
8 + -8(3v + 10) = 6(4 + -5v)

Reorder the terms:
8 + -8(10 + 3v) = 6(4 + -5v)
8 + (10 * -8 + 3v * -8) = 6(4 + -5v)
8 + (-80 + -24v) = 6(4 + -5v)

Combine like terms: 8 + -80 = -72
-72 + -24v = 6(4 + -5v)
-72 + -24v = (4 * 6 + -5v * 6)
-72 + -24v = (24 + -30v)

Solving
-72 + -24v = 24 + -30v

Solving for variable 'v'.

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

Add '30v' to each side of the equation.
-72 + -24v + 30v = 24 + -30v + 30v

Combine like terms: -24v + 30v = 6v
-72 + 6v = 24 + -30v + 30v

Combine like terms: -30v + 30v = 0
-72 + 6v = 24 + 0
-72 + 6v = 24

Add '72' to each side of the equation.
-72 + 72 + 6v = 24 + 72

Combine like terms: -72 + 72 = 0
0 + 6v = 24 + 72
6v = 24 + 72

Combine like terms: 24 + 72 = 96
6v = 96

Divide each side by '6'.
v = 16

Simplifying
v = 16

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