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Simplifying 1.5q + 7 = 2q + 16 Reorder the terms: 7 + 1.5q = 2q + 16 Reorder the terms: 7 + 1.5q = 16 + 2q Solving 7 + 1.5q = 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. 7 + 1.5q + -2q = 16 + 2q + -2q Combine like terms: 1.5q + -2q = -0.5q 7 + -0.5q = 16 + 2q + -2q Combine like terms: 2q + -2q = 0 7 + -0.5q = 16 + 0 7 + -0.5q = 16 Add '-7' to each side of the equation. 7 + -7 + -0.5q = 16 + -7 Combine like terms: 7 + -7 = 0 0 + -0.5q = 16 + -7 -0.5q = 16 + -7 Combine like terms: 16 + -7 = 9 -0.5q = 9 Divide each side by '-0.5'. q = -18 Simplifying q = -18
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