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

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

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

Reorder the terms:
6(-4 + q) + 3(1 + q) + -3q = 3q
(-4 * 6 + q * 6) + 3(1 + q) + -3q = 3q
(-24 + 6q) + 3(1 + q) + -3q = 3q
-24 + 6q + (1 * 3 + q * 3) + -3q = 3q
-24 + 6q + (3 + 3q) + -3q = 3q

Reorder the terms:
-24 + 3 + 6q + 3q + -3q = 3q

Combine like terms: -24 + 3 = -21
-21 + 6q + 3q + -3q = 3q

Combine like terms: 6q + 3q = 9q
-21 + 9q + -3q = 3q

Combine like terms: 9q + -3q = 6q
-21 + 6q = 3q

Solving
-21 + 6q = 3q

Solving for variable 'q'.

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

Add '-3q' to each side of the equation.
-21 + 6q + -3q = 3q + -3q

Combine like terms: 6q + -3q = 3q
-21 + 3q = 3q + -3q

Combine like terms: 3q + -3q = 0
-21 + 3q = 0

Add '21' to each side of the equation.
-21 + 21 + 3q = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 3q = 0 + 21
3q = 0 + 21

Combine like terms: 0 + 21 = 21
3q = 21

Divide each side by '3'.
q = 7

Simplifying
q = 7