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Simplifying 2.50(q + 15.00) = 412.50 Reorder the terms: 2.50(15.00 + q) = 412.50 (15.00 * 2.50 + q * 2.50) = 412.50 (37.5 + 2.50q) = 412.50 Solving 37.5 + 2.50q = 412.50 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-37.5' to each side of the equation. 37.5 + -37.5 + 2.50q = 412.50 + -37.5 Combine like terms: 37.5 + -37.5 = 0.0 0.0 + 2.50q = 412.50 + -37.5 2.50q = 412.50 + -37.5 Combine like terms: 412.50 + -37.5 = 375 2.50q = 375 Divide each side by '2.50'. q = 150 Simplifying q = 150
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