-2q+42=4-6(3q-1)

Solution for -2q+42=4-6(3q-1) equation:

Simplifying
-2q + 42 = 4 + -6(3q + -1)

Reorder the terms:
42 + -2q = 4 + -6(3q + -1)

Reorder the terms:
42 + -2q = 4 + -6(-1 + 3q)
42 + -2q = 4 + (-1 * -6 + 3q * -6)
42 + -2q = 4 + (6 + -18q)

Combine like terms: 4 + 6 = 10
42 + -2q = 10 + -18q

Solving
42 + -2q = 10 + -18q

Solving for variable 'q'.

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

Add '18q' to each side of the equation.
42 + -2q + 18q = 10 + -18q + 18q

Combine like terms: -2q + 18q = 16q
42 + 16q = 10 + -18q + 18q

Combine like terms: -18q + 18q = 0
42 + 16q = 10 + 0
42 + 16q = 10

Add '-42' to each side of the equation.
42 + -42 + 16q = 10 + -42

Combine like terms: 42 + -42 = 0
0 + 16q = 10 + -42
16q = 10 + -42

Combine like terms: 10 + -42 = -32
16q = -32

Divide each side by '16'.
q = -2

Simplifying
q = -2