9-3(1-q)=7-4(2-q)

Solution for 9-3(1-q)=7-4(2-q) equation:

Simplifying
9 + -3(1 + -1q) = 7 + -4(2 + -1q)
9 + (1 * -3 + -1q * -3) = 7 + -4(2 + -1q)
9 + (-3 + 3q) = 7 + -4(2 + -1q)

Combine like terms: 9 + -3 = 6
6 + 3q = 7 + -4(2 + -1q)
6 + 3q = 7 + (2 * -4 + -1q * -4)
6 + 3q = 7 + (-8 + 4q)

Combine like terms: 7 + -8 = -1
6 + 3q = -1 + 4q

Solving
6 + 3q = -1 + 4q

Solving for variable 'q'.

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

Add '-4q' to each side of the equation.
6 + 3q + -4q = -1 + 4q + -4q

Combine like terms: 3q + -4q = -1q
6 + -1q = -1 + 4q + -4q

Combine like terms: 4q + -4q = 0
6 + -1q = -1 + 0
6 + -1q = -1

Add '-6' to each side of the equation.
6 + -6 + -1q = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -1q = -1 + -6
-1q = -1 + -6

Combine like terms: -1 + -6 = -7
-1q = -7

Divide each side by '-1'.
q = 7

Simplifying
q = 7