-7(v+4)+4v+7=6v+10

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Solution for -7(v+4)+4v+7=6v+10 equation:


Simplifying
-7(v + 4) + 4v + 7 = 6v + 10

Reorder the terms:
-7(4 + v) + 4v + 7 = 6v + 10
(4 * -7 + v * -7) + 4v + 7 = 6v + 10
(-28 + -7v) + 4v + 7 = 6v + 10

Reorder the terms:
-28 + 7 + -7v + 4v = 6v + 10

Combine like terms: -28 + 7 = -21
-21 + -7v + 4v = 6v + 10

Combine like terms: -7v + 4v = -3v
-21 + -3v = 6v + 10

Reorder the terms:
-21 + -3v = 10 + 6v

Solving
-21 + -3v = 10 + 6v

Solving for variable 'v'.

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

Add '-6v' to each side of the equation.
-21 + -3v + -6v = 10 + 6v + -6v

Combine like terms: -3v + -6v = -9v
-21 + -9v = 10 + 6v + -6v

Combine like terms: 6v + -6v = 0
-21 + -9v = 10 + 0
-21 + -9v = 10

Add '21' to each side of the equation.
-21 + 21 + -9v = 10 + 21

Combine like terms: -21 + 21 = 0
0 + -9v = 10 + 21
-9v = 10 + 21

Combine like terms: 10 + 21 = 31
-9v = 31

Divide each side by '-9'.
v = -3.444444444

Simplifying
v = -3.444444444

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