Step-by-step explanation:
Simplifying
-7q + 12r = 3q + -4r
Solving
-7q + 12r = 3q + -4r
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.
-7q + -3q + 12r = 3q + -3q + -4r
Combine like terms: -7q + -3q = -10q
-10q + 12r = 3q + -3q + -4r
Combine like terms: 3q + -3q = 0
-10q + 12r = 0 + -4r
-10q + 12r = -4r
Add '-12r' to each side of the equation.
-10q + 12r + -12r = -4r + -12r
Combine like terms: 12r + -12r = 0
-10q + 0 = -4r + -12r
-10q = -4r + -12r
Combine like terms: -4r + -12r = -16r
-10q = -16r
Divide each side by '-10'.
q = 1.6r
Simplifying
q = 1.6r
