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Simplifying 0.5(2 + -1q) = 0.6(q + 7) (2 * 0.5 + -1q * 0.5) = 0.6(q + 7) (1 + -0.5q) = 0.6(q + 7) Reorder the terms: 1 + -0.5q = 0.6(7 + q) 1 + -0.5q = (7 * 0.6 + q * 0.6) 1 + -0.5q = (4.2 + 0.6q) Solving 1 + -0.5q = 4.2 + 0.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.6q' to each side of the equation. 1 + -0.5q + -0.6q = 4.2 + 0.6q + -0.6q Combine like terms: -0.5q + -0.6q = -1.1q 1 + -1.1q = 4.2 + 0.6q + -0.6q Combine like terms: 0.6q + -0.6q = 0.0 1 + -1.1q = 4.2 + 0.0 1 + -1.1q = 4.2 Add '-1' to each side of the equation. 1 + -1 + -1.1q = 4.2 + -1 Combine like terms: 1 + -1 = 0 0 + -1.1q = 4.2 + -1 -1.1q = 4.2 + -1 Combine like terms: 4.2 + -1 = 3.2 -1.1q = 3.2 Divide each side by '-1.1'. q = -2.909090909 Simplifying q = -2.909090909
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