3-3(4v-7)=38-5v

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Solution for 3-3(4v-7)=38-5v equation:


Simplifying
3 + -3(4v + -7) = 38 + -5v

Reorder the terms:
3 + -3(-7 + 4v) = 38 + -5v
3 + (-7 * -3 + 4v * -3) = 38 + -5v
3 + (21 + -12v) = 38 + -5v

Combine like terms: 3 + 21 = 24
24 + -12v = 38 + -5v

Solving
24 + -12v = 38 + -5v

Solving for variable 'v'.

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

Add '5v' to each side of the equation.
24 + -12v + 5v = 38 + -5v + 5v

Combine like terms: -12v + 5v = -7v
24 + -7v = 38 + -5v + 5v

Combine like terms: -5v + 5v = 0
24 + -7v = 38 + 0
24 + -7v = 38

Add '-24' to each side of the equation.
24 + -24 + -7v = 38 + -24

Combine like terms: 24 + -24 = 0
0 + -7v = 38 + -24
-7v = 38 + -24

Combine like terms: 38 + -24 = 14
-7v = 14

Divide each side by '-7'.
v = -2

Simplifying
v = -2

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