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

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


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

Reorder the terms:
-6(4 + v) + 4v + 6 = 7v + 10
(4 * -6 + v * -6) + 4v + 6 = 7v + 10
(-24 + -6v) + 4v + 6 = 7v + 10

Reorder the terms:
-24 + 6 + -6v + 4v = 7v + 10

Combine like terms: -24 + 6 = -18
-18 + -6v + 4v = 7v + 10

Combine like terms: -6v + 4v = -2v
-18 + -2v = 7v + 10

Reorder the terms:
-18 + -2v = 10 + 7v

Solving
-18 + -2v = 10 + 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.
-18 + -2v + -7v = 10 + 7v + -7v

Combine like terms: -2v + -7v = -9v
-18 + -9v = 10 + 7v + -7v

Combine like terms: 7v + -7v = 0
-18 + -9v = 10 + 0
-18 + -9v = 10

Add '18' to each side of the equation.
-18 + 18 + -9v = 10 + 18

Combine like terms: -18 + 18 = 0
0 + -9v = 10 + 18
-9v = 10 + 18

Combine like terms: 10 + 18 = 28
-9v = 28

Divide each side by '-9'.
v = -3.111111111

Simplifying
v = -3.111111111

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