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Simplifying 1 + 1.5q = 2q + -2.5 Reorder the terms: 1 + 1.5q = -2.5 + 2q Solving 1 + 1.5q = -2.5 + 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. 1 + 1.5q + -2q = -2.5 + 2q + -2q Combine like terms: 1.5q + -2q = -0.5q 1 + -0.5q = -2.5 + 2q + -2q Combine like terms: 2q + -2q = 0 1 + -0.5q = -2.5 + 0 1 + -0.5q = -2.5 Add '-1' to each side of the equation. 1 + -1 + -0.5q = -2.5 + -1 Combine like terms: 1 + -1 = 0 0 + -0.5q = -2.5 + -1 -0.5q = -2.5 + -1 Combine like terms: -2.5 + -1 = -3.5 -0.5q = -3.5 Divide each side by '-0.5'. q = 7 Simplifying q = 7
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