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Simplifying 6 + -0.5(q + -17) = 0.2(12q + -17) Reorder the terms: 6 + -0.5(-17 + q) = 0.2(12q + -17) 6 + (-17 * -0.5 + q * -0.5) = 0.2(12q + -17) 6 + (8.5 + -0.5q) = 0.2(12q + -17) Combine like terms: 6 + 8.5 = 14.5 14.5 + -0.5q = 0.2(12q + -17) Reorder the terms: 14.5 + -0.5q = 0.2(-17 + 12q) 14.5 + -0.5q = (-17 * 0.2 + 12q * 0.2) 14.5 + -0.5q = (-3.4 + 2.4q) Solving 14.5 + -0.5q = -3.4 + 2.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2.4q' to each side of the equation. 14.5 + -0.5q + -2.4q = -3.4 + 2.4q + -2.4q Combine like terms: -0.5q + -2.4q = -2.9q 14.5 + -2.9q = -3.4 + 2.4q + -2.4q Combine like terms: 2.4q + -2.4q = 0.0 14.5 + -2.9q = -3.4 + 0.0 14.5 + -2.9q = -3.4 Add '-14.5' to each side of the equation. 14.5 + -14.5 + -2.9q = -3.4 + -14.5 Combine like terms: 14.5 + -14.5 = 0.0 0.0 + -2.9q = -3.4 + -14.5 -2.9q = -3.4 + -14.5 Combine like terms: -3.4 + -14.5 = -17.9 -2.9q = -17.9 Divide each side by '-2.9'. q = 6.172413793 Simplifying q = 6.172413793
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