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Simplifying 234 = 4.5r + 4.5(r + 30.8) Reorder the terms: 234 = 4.5r + 4.5(30.8 + r) 234 = 4.5r + (30.8 * 4.5 + r * 4.5) 234 = 4.5r + (138.6 + 4.5r) Reorder the terms: 234 = 138.6 + 4.5r + 4.5r Combine like terms: 4.5r + 4.5r = 9r 234 = 138.6 + 9r Solving 234 = 138.6 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. 234 + -9r = 138.6 + 9r + -9r Combine like terms: 9r + -9r = 0 234 + -9r = 138.6 + 0 234 + -9r = 138.6 Add '-234' to each side of the equation. 234 + -234 + -9r = 138.6 + -234 Combine like terms: 234 + -234 = 0 0 + -9r = 138.6 + -234 -9r = 138.6 + -234 Combine like terms: 138.6 + -234 = -95.4 -9r = -95.4 Divide each side by '-9'. r = 10.6 Simplifying r = 10.6
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