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Simplifying 279 = 4.5r + 4.5(r + 35.8) Reorder the terms: 279 = 4.5r + 4.5(35.8 + r) 279 = 4.5r + (35.8 * 4.5 + r * 4.5) 279 = 4.5r + (161.1 + 4.5r) Reorder the terms: 279 = 161.1 + 4.5r + 4.5r Combine like terms: 4.5r + 4.5r = 9r 279 = 161.1 + 9r Solving 279 = 161.1 + 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. 279 + -9r = 161.1 + 9r + -9r Combine like terms: 9r + -9r = 0 279 + -9r = 161.1 + 0 279 + -9r = 161.1 Add '-279' to each side of the equation. 279 + -279 + -9r = 161.1 + -279 Combine like terms: 279 + -279 = 0 0 + -9r = 161.1 + -279 -9r = 161.1 + -279 Combine like terms: 161.1 + -279 = -117.9 -9r = -117.9 Divide each side by '-9'. r = 13.1 Simplifying r = 13.1
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