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Simplifying 12 + -9q + 6q = 16 + 2q Combine like terms: -9q + 6q = -3q 12 + -3q = 16 + 2q Solving 12 + -3q = 16 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 12 + -3q + -2q = 16 + 2q + -2q Combine like terms: -3q + -2q = -5q 12 + -5q = 16 + 2q + -2q Combine like terms: 2q + -2q = 0 12 + -5q = 16 + 0 12 + -5q = 16 Add '-12' to each side of the equation. 12 + -12 + -5q = 16 + -12 Combine like terms: 12 + -12 = 0 0 + -5q = 16 + -12 -5q = 16 + -12 Combine like terms: 16 + -12 = 4 -5q = 4 Divide each side by '-5'. q = -0.8 Simplifying q = -0.8
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