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Simplifying -0.5(q + -13) + 9 = 11 Reorder the terms: -0.5(-13 + q) + 9 = 11 (-13 * -0.5 + q * -0.5) + 9 = 11 (6.5 + -0.5q) + 9 = 11 Reorder the terms: 6.5 + 9 + -0.5q = 11 Combine like terms: 6.5 + 9 = 15.5 15.5 + -0.5q = 11 Solving 15.5 + -0.5q = 11 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-15.5' to each side of the equation. 15.5 + -15.5 + -0.5q = 11 + -15.5 Combine like terms: 15.5 + -15.5 = 0.0 0.0 + -0.5q = 11 + -15.5 -0.5q = 11 + -15.5 Combine like terms: 11 + -15.5 = -4.5 -0.5q = -4.5 Divide each side by '-0.5'. q = 9 Simplifying q = 9
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