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Simplifying 3q + -1.5 = 12 + -4.5q Reorder the terms: -1.5 + 3q = 12 + -4.5q Solving -1.5 + 3q = 12 + -4.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4.5q' to each side of the equation. -1.5 + 3q + 4.5q = 12 + -4.5q + 4.5q Combine like terms: 3q + 4.5q = 7.5q -1.5 + 7.5q = 12 + -4.5q + 4.5q Combine like terms: -4.5q + 4.5q = 0.0 -1.5 + 7.5q = 12 + 0.0 -1.5 + 7.5q = 12 Add '1.5' to each side of the equation. -1.5 + 1.5 + 7.5q = 12 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 7.5q = 12 + 1.5 7.5q = 12 + 1.5 Combine like terms: 12 + 1.5 = 13.5 7.5q = 13.5 Divide each side by '7.5'. q = 1.8 Simplifying q = 1.8
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