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Simplifying 0.5q + 2q + 10 = -4q + 4 + 1 Reorder the terms: 10 + 0.5q + 2q = -4q + 4 + 1 Combine like terms: 0.5q + 2q = 2.5q 10 + 2.5q = -4q + 4 + 1 Reorder the terms: 10 + 2.5q = 4 + 1 + -4q Combine like terms: 4 + 1 = 5 10 + 2.5q = 5 + -4q Solving 10 + 2.5q = 5 + -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 = 5 + -4q + 4q Combine like terms: 2.5q + 4q = 6.5q 10 + 6.5q = 5 + -4q + 4q Combine like terms: -4q + 4q = 0 10 + 6.5q = 5 + 0 10 + 6.5q = 5 Add '-10' to each side of the equation. 10 + -10 + 6.5q = 5 + -10 Combine like terms: 10 + -10 = 0 0 + 6.5q = 5 + -10 6.5q = 5 + -10 Combine like terms: 5 + -10 = -5 6.5q = -5 Divide each side by '6.5'. q = -0.7692307692 Simplifying q = -0.7692307692
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