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Simplifying 1.6r + 9 = 1.3r + 15 Reorder the terms: 9 + 1.6r = 1.3r + 15 Reorder the terms: 9 + 1.6r = 15 + 1.3r Solving 9 + 1.6r = 15 + 1.3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.3r' to each side of the equation. 9 + 1.6r + -1.3r = 15 + 1.3r + -1.3r Combine like terms: 1.6r + -1.3r = 0.3r 9 + 0.3r = 15 + 1.3r + -1.3r Combine like terms: 1.3r + -1.3r = 0.0 9 + 0.3r = 15 + 0.0 9 + 0.3r = 15 Add '-9' to each side of the equation. 9 + -9 + 0.3r = 15 + -9 Combine like terms: 9 + -9 = 0 0 + 0.3r = 15 + -9 0.3r = 15 + -9 Combine like terms: 15 + -9 = 6 0.3r = 6 Divide each side by '0.3'. r = 20 Simplifying r = 20
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