4(v+7)=7v-38

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


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

Reorder the terms:
4(7 + v) = 7v + -38
(7 * 4 + v * 4) = 7v + -38
(28 + 4v) = 7v + -38

Reorder the terms:
28 + 4v = -38 + 7v

Solving
28 + 4v = -38 + 7v

Solving for variable 'v'.

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

Add '-7v' to each side of the equation.
28 + 4v + -7v = -38 + 7v + -7v

Combine like terms: 4v + -7v = -3v
28 + -3v = -38 + 7v + -7v

Combine like terms: 7v + -7v = 0
28 + -3v = -38 + 0
28 + -3v = -38

Add '-28' to each side of the equation.
28 + -28 + -3v = -38 + -28

Combine like terms: 28 + -28 = 0
0 + -3v = -38 + -28
-3v = -38 + -28

Combine like terms: -38 + -28 = -66
-3v = -66

Divide each side by '-3'.
v = 22

Simplifying
v = 22

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