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Simplifying -1.8q + 12 + 16q = 9 + 10.2q Reorder the terms: 12 + -1.8q + 16q = 9 + 10.2q Combine like terms: -1.8q + 16q = 14.2q 12 + 14.2q = 9 + 10.2q Solving 12 + 14.2q = 9 + 10.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10.2q' to each side of the equation. 12 + 14.2q + -10.2q = 9 + 10.2q + -10.2q Combine like terms: 14.2q + -10.2q = 4q 12 + 4q = 9 + 10.2q + -10.2q Combine like terms: 10.2q + -10.2q = 0.0 12 + 4q = 9 + 0.0 12 + 4q = 9 Add '-12' to each side of the equation. 12 + -12 + 4q = 9 + -12 Combine like terms: 12 + -12 = 0 0 + 4q = 9 + -12 4q = 9 + -12 Combine like terms: 9 + -12 = -3 4q = -3 Divide each side by '4'. q = -0.75 Simplifying q = -0.75
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