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Simplifying 1.5r + 9 = 1.2r + 24 Reorder the terms: 9 + 1.5r = 1.2r + 24 Reorder the terms: 9 + 1.5r = 24 + 1.2r Solving 9 + 1.5r = 24 + 1.2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.2r' to each side of the equation. 9 + 1.5r + -1.2r = 24 + 1.2r + -1.2r Combine like terms: 1.5r + -1.2r = 0.3r 9 + 0.3r = 24 + 1.2r + -1.2r Combine like terms: 1.2r + -1.2r = 0.0 9 + 0.3r = 24 + 0.0 9 + 0.3r = 24 Add '-9' to each side of the equation. 9 + -9 + 0.3r = 24 + -9 Combine like terms: 9 + -9 = 0 0 + 0.3r = 24 + -9 0.3r = 24 + -9 Combine like terms: 24 + -9 = 15 0.3r = 15 Divide each side by '0.3'. r = 50 Simplifying r = 50
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