2(9q+3)=-2(2+3q)

Solution for 2(9q+3)=-2(2+3q) equation:

Simplifying
2(9q + 3) = -2(2 + 3q)

Reorder the terms:
2(3 + 9q) = -2(2 + 3q)
(3 * 2 + 9q * 2) = -2(2 + 3q)
(6 + 18q) = -2(2 + 3q)
6 + 18q = (2 * -2 + 3q * -2)
6 + 18q = (-4 + -6q)

Solving
6 + 18q = -4 + -6q

Solving for variable 'q'.

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

Add '6q' to each side of the equation.
6 + 18q + 6q = -4 + -6q + 6q

Combine like terms: 18q + 6q = 24q
6 + 24q = -4 + -6q + 6q

Combine like terms: -6q + 6q = 0
6 + 24q = -4 + 0
6 + 24q = -4

Add '-6' to each side of the equation.
6 + -6 + 24q = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 24q = -4 + -6
24q = -4 + -6

Combine like terms: -4 + -6 = -10
24q = -10

Divide each side by '24'.
q = -0.4166666667

Simplifying
q = -0.4166666667