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Simplifying 16 + -0.5(q + -7) = 0.9(5q + -7) Reorder the terms: 16 + -0.5(-7 + q) = 0.9(5q + -7) 16 + (-7 * -0.5 + q * -0.5) = 0.9(5q + -7) 16 + (3.5 + -0.5q) = 0.9(5q + -7) Combine like terms: 16 + 3.5 = 19.5 19.5 + -0.5q = 0.9(5q + -7) Reorder the terms: 19.5 + -0.5q = 0.9(-7 + 5q) 19.5 + -0.5q = (-7 * 0.9 + 5q * 0.9) 19.5 + -0.5q = (-6.3 + 4.5q) Solving 19.5 + -0.5q = -6.3 + 4.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4.5q' to each side of the equation. 19.5 + -0.5q + -4.5q = -6.3 + 4.5q + -4.5q Combine like terms: -0.5q + -4.5q = -5q 19.5 + -5q = -6.3 + 4.5q + -4.5q Combine like terms: 4.5q + -4.5q = 0.0 19.5 + -5q = -6.3 + 0.0 19.5 + -5q = -6.3 Add '-19.5' to each side of the equation. 19.5 + -19.5 + -5q = -6.3 + -19.5 Combine like terms: 19.5 + -19.5 = 0.0 0.0 + -5q = -6.3 + -19.5 -5q = -6.3 + -19.5 Combine like terms: -6.3 + -19.5 = -25.8 -5q = -25.8 Divide each side by '-5'. q = 5.16 Simplifying q = 5.16
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