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Simplifying 3q + 0.5 = 2q + -0.125 Reorder the terms: 0.5 + 3q = 2q + -0.125 Reorder the terms: 0.5 + 3q = -0.125 + 2q Solving 0.5 + 3q = -0.125 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 0.5 + 3q + -2q = -0.125 + 2q + -2q Combine like terms: 3q + -2q = 1q 0.5 + 1q = -0.125 + 2q + -2q Combine like terms: 2q + -2q = 0 0.5 + 1q = -0.125 + 0 0.5 + 1q = -0.125 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 1q = -0.125 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 1q = -0.125 + -0.5 1q = -0.125 + -0.5 Combine like terms: -0.125 + -0.5 = -0.625 1q = -0.625 Divide each side by '1'. q = -0.625 Simplifying q = -0.625
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