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Simplifying 3q + -16y = 7 + 2(8q + -3) Reorder the terms: 3q + -16y = 7 + 2(-3 + 8q) 3q + -16y = 7 + (-3 * 2 + 8q * 2) 3q + -16y = 7 + (-6 + 16q) Combine like terms: 7 + -6 = 1 3q + -16y = 1 + 16q Solving 3q + -16y = 1 + 16q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-16q' to each side of the equation. 3q + -16q + -16y = 1 + 16q + -16q Combine like terms: 3q + -16q = -13q -13q + -16y = 1 + 16q + -16q Combine like terms: 16q + -16q = 0 -13q + -16y = 1 + 0 -13q + -16y = 1 Add '16y' to each side of the equation. -13q + -16y + 16y = 1 + 16y Combine like terms: -16y + 16y = 0 -13q + 0 = 1 + 16y -13q = 1 + 16y Divide each side by '-13'. q = -0.07692307692 + -1.230769231y Simplifying q = -0.07692307692 + -1.230769231y
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