-4v+42=-6(v-5)

Solution for -4v+42=-6(v-5) equation:

Simplifying
-4v + 42 = -6(v + -5)

Reorder the terms:
42 + -4v = -6(v + -5)

Reorder the terms:
42 + -4v = -6(-5 + v)
42 + -4v = (-5 * -6 + v * -6)
42 + -4v = (30 + -6v)

Solving
42 + -4v = 30 + -6v

Solving for variable 'v'.

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

Add '6v' to each side of the equation.
42 + -4v + 6v = 30 + -6v + 6v

Combine like terms: -4v + 6v = 2v
42 + 2v = 30 + -6v + 6v

Combine like terms: -6v + 6v = 0
42 + 2v = 30 + 0
42 + 2v = 30

Add '-42' to each side of the equation.
42 + -42 + 2v = 30 + -42

Combine like terms: 42 + -42 = 0
0 + 2v = 30 + -42
2v = 30 + -42

Combine like terms: 30 + -42 = -12
2v = -12

Divide each side by '2'.
v = -6

Simplifying
v = -6