24=3(v+4)-7v

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Solution for 24=3(v+4)-7v equation:


Simplifying
24 = 3(v + 4) + -7v

Reorder the terms:
24 = 3(4 + v) + -7v
24 = (4 * 3 + v * 3) + -7v
24 = (12 + 3v) + -7v

Combine like terms: 3v + -7v = -4v
24 = 12 + -4v

Solving
24 = 12 + -4v

Solving for variable 'v'.

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

Add '4v' to each side of the equation.
24 + 4v = 12 + -4v + 4v

Combine like terms: -4v + 4v = 0
24 + 4v = 12 + 0
24 + 4v = 12

Add '-24' to each side of the equation.
24 + -24 + 4v = 12 + -24

Combine like terms: 24 + -24 = 0
0 + 4v = 12 + -24
4v = 12 + -24

Combine like terms: 12 + -24 = -12
4v = -12

Divide each side by '4'.
v = -3

Simplifying
v = -3

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