-3(v-7)+6(3v-4)=42

Solution for -3(v-7)+6(3v-4)=42 equation:

Simplifying
-3(v + -7) + 6(3v + -4) = 42

Reorder the terms:
-3(-7 + v) + 6(3v + -4) = 42
(-7 * -3 + v * -3) + 6(3v + -4) = 42
(21 + -3v) + 6(3v + -4) = 42

Reorder the terms:
21 + -3v + 6(-4 + 3v) = 42
21 + -3v + (-4 * 6 + 3v * 6) = 42
21 + -3v + (-24 + 18v) = 42

Reorder the terms:
21 + -24 + -3v + 18v = 42

Combine like terms: 21 + -24 = -3
-3 + -3v + 18v = 42

Combine like terms: -3v + 18v = 15v
-3 + 15v = 42

Solving
-3 + 15v = 42

Solving for variable 'v'.

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

Add '3' to each side of the equation.
-3 + 3 + 15v = 42 + 3

Combine like terms: -3 + 3 = 0
0 + 15v = 42 + 3
15v = 42 + 3

Combine like terms: 42 + 3 = 45
15v = 45

Divide each side by '15'.
v = 3

Simplifying
v = 3