-3(2-9)=6(q+1)

Solution for -3(2-9)=6(q+1) equation:

Simplifying
-3(2 + -9) = 6(q + 1)

Combine like terms: 2 + -9 = -7
-3(-7) = 6(q + 1)

Multiply -3 * -7
21 = 6(q + 1)

Reorder the terms:
21 = 6(1 + q)
21 = (1 * 6 + q * 6)
21 = (6 + 6q)

Solving
21 = 6 + 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.
21 + -6q = 6 + 6q + -6q

Combine like terms: 6q + -6q = 0
21 + -6q = 6 + 0
21 + -6q = 6

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

Combine like terms: 21 + -21 = 0
0 + -6q = 6 + -21
-6q = 6 + -21

Combine like terms: 6 + -21 = -15
-6q = -15

Divide each side by '-6'.
q = 2.5

Simplifying
q = 2.5