-40=4(v+1)-3(6v-4)

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Solution for -40=4(v+1)-3(6v-4) equation:


Simplifying
-40 = 4(v + 1) + -3(6v + -4)

Reorder the terms:
-40 = 4(1 + v) + -3(6v + -4)
-40 = (1 * 4 + v * 4) + -3(6v + -4)
-40 = (4 + 4v) + -3(6v + -4)

Reorder the terms:
-40 = 4 + 4v + -3(-4 + 6v)
-40 = 4 + 4v + (-4 * -3 + 6v * -3)
-40 = 4 + 4v + (12 + -18v)

Reorder the terms:
-40 = 4 + 12 + 4v + -18v

Combine like terms: 4 + 12 = 16
-40 = 16 + 4v + -18v

Combine like terms: 4v + -18v = -14v
-40 = 16 + -14v

Solving
-40 = 16 + -14v

Solving for variable 'v'.

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

Add '14v' to each side of the equation.
-40 + 14v = 16 + -14v + 14v

Combine like terms: -14v + 14v = 0
-40 + 14v = 16 + 0
-40 + 14v = 16

Add '40' to each side of the equation.
-40 + 40 + 14v = 16 + 40

Combine like terms: -40 + 40 = 0
0 + 14v = 16 + 40
14v = 16 + 40

Combine like terms: 16 + 40 = 56
14v = 56

Divide each side by '14'.
v = 4

Simplifying
v = 4

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