-3(v+2)=2(u+6)+7

Solution for -3(v+2)=2(u+6)+7 equation:

Simplifying
-3(v + 2) = 2(u + 6) + 7

Reorder the terms:
-3(2 + v) = 2(u + 6) + 7
(2 * -3 + v * -3) = 2(u + 6) + 7
(-6 + -3v) = 2(u + 6) + 7

Reorder the terms:
-6 + -3v = 2(6 + u) + 7
-6 + -3v = (6 * 2 + u * 2) + 7
-6 + -3v = (12 + 2u) + 7

Reorder the terms:
-6 + -3v = 12 + 7 + 2u

Combine like terms: 12 + 7 = 19
-6 + -3v = 19 + 2u

Solving
-6 + -3v = 19 + 2u

Solving for variable 'v'.

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

Add '6' to each side of the equation.
-6 + 6 + -3v = 19 + 6 + 2u

Combine like terms: -6 + 6 = 0
0 + -3v = 19 + 6 + 2u
-3v = 19 + 6 + 2u

Combine like terms: 19 + 6 = 25
-3v = 25 + 2u

Divide each side by '-3'.
v = -8.333333333 + -0.6666666667u

Simplifying
v = -8.333333333 + -0.6666666667u