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Simplifying 0.5q + 2(q + 5) = -4(q + 1) + 1 Reorder the terms: 0.5q + 2(5 + q) = -4(q + 1) + 1 0.5q + (5 * 2 + q * 2) = -4(q + 1) + 1 0.5q + (10 + 2q) = -4(q + 1) + 1 Reorder the terms: 10 + 0.5q + 2q = -4(q + 1) + 1 Combine like terms: 0.5q + 2q = 2.5q 10 + 2.5q = -4(q + 1) + 1 Reorder the terms: 10 + 2.5q = -4(1 + q) + 1 10 + 2.5q = (1 * -4 + q * -4) + 1 10 + 2.5q = (-4 + -4q) + 1 Reorder the terms: 10 + 2.5q = -4 + 1 + -4q Combine like terms: -4 + 1 = -3 10 + 2.5q = -3 + -4q Solving 10 + 2.5q = -3 + -4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4q' to each side of the equation. 10 + 2.5q + 4q = -3 + -4q + 4q Combine like terms: 2.5q + 4q = 6.5q 10 + 6.5q = -3 + -4q + 4q Combine like terms: -4q + 4q = 0 10 + 6.5q = -3 + 0 10 + 6.5q = -3 Add '-10' to each side of the equation. 10 + -10 + 6.5q = -3 + -10 Combine like terms: 10 + -10 = 0 0 + 6.5q = -3 + -10 6.5q = -3 + -10 Combine like terms: -3 + -10 = -13 6.5q = -13 Divide each side by '6.5'. q = -2 Simplifying q = -2
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