-6(v+3)+3v+7=8v+11

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Solution for -6(v+3)+3v+7=8v+11 equation:


Simplifying
-6(v + 3) + 3v + 7 = 8v + 11

Reorder the terms:
-6(3 + v) + 3v + 7 = 8v + 11
(3 * -6 + v * -6) + 3v + 7 = 8v + 11
(-18 + -6v) + 3v + 7 = 8v + 11

Reorder the terms:
-18 + 7 + -6v + 3v = 8v + 11

Combine like terms: -18 + 7 = -11
-11 + -6v + 3v = 8v + 11

Combine like terms: -6v + 3v = -3v
-11 + -3v = 8v + 11

Reorder the terms:
-11 + -3v = 11 + 8v

Solving
-11 + -3v = 11 + 8v

Solving for variable 'v'.

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

Add '-8v' to each side of the equation.
-11 + -3v + -8v = 11 + 8v + -8v

Combine like terms: -3v + -8v = -11v
-11 + -11v = 11 + 8v + -8v

Combine like terms: 8v + -8v = 0
-11 + -11v = 11 + 0
-11 + -11v = 11

Add '11' to each side of the equation.
-11 + 11 + -11v = 11 + 11

Combine like terms: -11 + 11 = 0
0 + -11v = 11 + 11
-11v = 11 + 11

Combine like terms: 11 + 11 = 22
-11v = 22

Divide each side by '-11'.
v = -2

Simplifying
v = -2

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