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Simplifying 0.025q + 0.10(2q + 6) = 12.75 Reorder the terms: 0.025q + 0.10(6 + 2q) = 12.75 0.025q + (6 * 0.10 + 2q * 0.10) = 12.75 0.025q + (0.6 + 0.2q) = 12.75 Reorder the terms: 0.6 + 0.025q + 0.2q = 12.75 Combine like terms: 0.025q + 0.2q = 0.225q 0.6 + 0.225q = 12.75 Solving 0.6 + 0.225q = 12.75 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + 0.225q = 12.75 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.225q = 12.75 + -0.6 0.225q = 12.75 + -0.6 Combine like terms: 12.75 + -0.6 = 12.15 0.225q = 12.15 Divide each side by '0.225'. q = 54 Simplifying q = 54
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