(8q+6)-(3q+21)=

Solution for (8q+6)-(3q+21)= equation:

Simplifying
(8q + 6) + -1(3q + 21) = 0

Reorder the terms:
(6 + 8q) + -1(3q + 21) = 0

Remove parenthesis around (6 + 8q)
6 + 8q + -1(3q + 21) = 0

Reorder the terms:
6 + 8q + -1(21 + 3q) = 0
6 + 8q + (21 * -1 + 3q * -1) = 0
6 + 8q + (-21 + -3q) = 0

Reorder the terms:
6 + -21 + 8q + -3q = 0

Combine like terms: 6 + -21 = -15
-15 + 8q + -3q = 0

Combine like terms: 8q + -3q = 5q
-15 + 5q = 0

Solving
-15 + 5q = 0

Solving for variable 'q'.

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

Add '15' to each side of the equation.
-15 + 15 + 5q = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 5q = 0 + 15
5q = 0 + 15

Combine like terms: 0 + 15 = 15
5q = 15

Divide each side by '5'.
q = 3

Simplifying
q = 3