-6(v+4)+3v+6=8v+7

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Solution for -6(v+4)+3v+6=8v+7 equation:


Simplifying
-6(v + 4) + 3v + 6 = 8v + 7

Reorder the terms:
-6(4 + v) + 3v + 6 = 8v + 7
(4 * -6 + v * -6) + 3v + 6 = 8v + 7
(-24 + -6v) + 3v + 6 = 8v + 7

Reorder the terms:
-24 + 6 + -6v + 3v = 8v + 7

Combine like terms: -24 + 6 = -18
-18 + -6v + 3v = 8v + 7

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

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

Solving
-18 + -3v = 7 + 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.
-18 + -3v + -8v = 7 + 8v + -8v

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

Combine like terms: 8v + -8v = 0
-18 + -11v = 7 + 0
-18 + -11v = 7

Add '18' to each side of the equation.
-18 + 18 + -11v = 7 + 18

Combine like terms: -18 + 18 = 0
0 + -11v = 7 + 18
-11v = 7 + 18

Combine like terms: 7 + 18 = 25
-11v = 25

Divide each side by '-11'.
v = -2.272727273

Simplifying
v = -2.272727273

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