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Simplifying 5 = 0.5(q + -10) + 2 Reorder the terms: 5 = 0.5(-10 + q) + 2 5 = (-10 * 0.5 + q * 0.5) + 2 5 = (-5 + 0.5q) + 2 Reorder the terms: 5 = -5 + 2 + 0.5q Combine like terms: -5 + 2 = -3 5 = -3 + 0.5q Solving 5 = -3 + 0.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.5q' to each side of the equation. 5 + -0.5q = -3 + 0.5q + -0.5q Combine like terms: 0.5q + -0.5q = 0.0 5 + -0.5q = -3 + 0.0 5 + -0.5q = -3 Add '-5' to each side of the equation. 5 + -5 + -0.5q = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -0.5q = -3 + -5 -0.5q = -3 + -5 Combine like terms: -3 + -5 = -8 -0.5q = -8 Divide each side by '-0.5'. q = 16 Simplifying q = 16
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