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

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


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

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

Reorder the terms:
-21 + 7 + -7v + 4v = 5v + 7

Combine like terms: -21 + 7 = -14
-14 + -7v + 4v = 5v + 7

Combine like terms: -7v + 4v = -3v
-14 + -3v = 5v + 7

Reorder the terms:
-14 + -3v = 7 + 5v

Solving
-14 + -3v = 7 + 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.
-14 + -3v + -5v = 7 + 5v + -5v

Combine like terms: -3v + -5v = -8v
-14 + -8v = 7 + 5v + -5v

Combine like terms: 5v + -5v = 0
-14 + -8v = 7 + 0
-14 + -8v = 7

Add '14' to each side of the equation.
-14 + 14 + -8v = 7 + 14

Combine like terms: -14 + 14 = 0
0 + -8v = 7 + 14
-8v = 7 + 14

Combine like terms: 7 + 14 = 21
-8v = 21

Divide each side by '-8'.
v = -2.625

Simplifying
v = -2.625

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