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Simplifying 1.5(q + -6) + -3 = 6 Reorder the terms: 1.5(-6 + q) + -3 = 6 (-6 * 1.5 + q * 1.5) + -3 = 6 (-9 + 1.5q) + -3 = 6 Reorder the terms: -9 + -3 + 1.5q = 6 Combine like terms: -9 + -3 = -12 -12 + 1.5q = 6 Solving -12 + 1.5q = 6 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 1.5q = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 1.5q = 6 + 12 1.5q = 6 + 12 Combine like terms: 6 + 12 = 18 1.5q = 18 Divide each side by '1.5'. q = 12 Simplifying q = 12
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