8(q-8)-2(q-5)=-42

Solution for 8(q-8)-2(q-5)=-42 equation:

Simplifying
8(q + -8) + -2(q + -5) = -42

Reorder the terms:
8(-8 + q) + -2(q + -5) = -42
(-8 * 8 + q * 8) + -2(q + -5) = -42
(-64 + 8q) + -2(q + -5) = -42

Reorder the terms:
-64 + 8q + -2(-5 + q) = -42
-64 + 8q + (-5 * -2 + q * -2) = -42
-64 + 8q + (10 + -2q) = -42

Reorder the terms:
-64 + 10 + 8q + -2q = -42

Combine like terms: -64 + 10 = -54
-54 + 8q + -2q = -42

Combine like terms: 8q + -2q = 6q
-54 + 6q = -42

Solving
-54 + 6q = -42

Solving for variable 'q'.

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

Add '54' to each side of the equation.
-54 + 54 + 6q = -42 + 54

Combine like terms: -54 + 54 = 0
0 + 6q = -42 + 54
6q = -42 + 54

Combine like terms: -42 + 54 = 12
6q = 12

Divide each side by '6'.
q = 2

Simplifying
q = 2