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Simplifying 24.5 = 7.5(2r + 4.5) Reorder the terms: 24.5 = 7.5(4.5 + 2r) 24.5 = (4.5 * 7.5 + 2r * 7.5) 24.5 = (33.75 + 15r) Solving 24.5 = 33.75 + 15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15r' to each side of the equation. 24.5 + -15r = 33.75 + 15r + -15r Combine like terms: 15r + -15r = 0 24.5 + -15r = 33.75 + 0 24.5 + -15r = 33.75 Add '-24.5' to each side of the equation. 24.5 + -24.5 + -15r = 33.75 + -24.5 Combine like terms: 24.5 + -24.5 = 0.0 0.0 + -15r = 33.75 + -24.5 -15r = 33.75 + -24.5 Combine like terms: 33.75 + -24.5 = 9.25 -15r = 9.25 Divide each side by '-15'. r = -0.6166666667 Simplifying r = -0.6166666667
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