-6(v+3)+3v+6=7v+10

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Solution for -6(v+3)+3v+6=7v+10 equation:


Simplifying
-6(v + 3) + 3v + 6 = 7v + 10

Reorder the terms:
-6(3 + v) + 3v + 6 = 7v + 10
(3 * -6 + v * -6) + 3v + 6 = 7v + 10
(-18 + -6v) + 3v + 6 = 7v + 10

Reorder the terms:
-18 + 6 + -6v + 3v = 7v + 10

Combine like terms: -18 + 6 = -12
-12 + -6v + 3v = 7v + 10

Combine like terms: -6v + 3v = -3v
-12 + -3v = 7v + 10

Reorder the terms:
-12 + -3v = 10 + 7v

Solving
-12 + -3v = 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.
-12 + -3v + -7v = 10 + 7v + -7v

Combine like terms: -3v + -7v = -10v
-12 + -10v = 10 + 7v + -7v

Combine like terms: 7v + -7v = 0
-12 + -10v = 10 + 0
-12 + -10v = 10

Add '12' to each side of the equation.
-12 + 12 + -10v = 10 + 12

Combine like terms: -12 + 12 = 0
0 + -10v = 10 + 12
-10v = 10 + 12

Combine like terms: 10 + 12 = 22
-10v = 22

Divide each side by '-10'.
v = -2.2

Simplifying
v = -2.2

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