2-3(4+8v)=v+40

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Solution for 2-3(4+8v)=v+40 equation: 


Simplifying
2 + -3(4 + 8v) = v + 40
2 + (4 * -3 + 8v * -3) = v + 40
2 + (-12 + -24v) = v + 40

Combine like terms: 2 + -12 = -10
-10 + -24v = v + 40

Reorder the terms:
-10 + -24v = 40 + v

Solving
-10 + -24v = 40 + v

Solving for variable 'v'.

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

Add '-1v' to each side of the equation.
-10 + -24v + -1v = 40 + v + -1v

Combine like terms: -24v + -1v = -25v
-10 + -25v = 40 + v + -1v

Combine like terms: v + -1v = 0
-10 + -25v = 40 + 0
-10 + -25v = 40

Add '10' to each side of the equation.
-10 + 10 + -25v = 40 + 10

Combine like terms: -10 + 10 = 0
0 + -25v = 40 + 10
-25v = 40 + 10

Combine like terms: 40 + 10 = 50
-25v = 50

Divide each side by '-25'.
v = -2

Simplifying
v = -2

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