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Simplifying 390 = 7.5r + 7.5(r + 33.4) Reorder the terms: 390 = 7.5r + 7.5(33.4 + r) 390 = 7.5r + (33.4 * 7.5 + r * 7.5) 390 = 7.5r + (250.5 + 7.5r) Reorder the terms: 390 = 250.5 + 7.5r + 7.5r Combine like terms: 7.5r + 7.5r = 15r 390 = 250.5 + 15r Solving 390 = 250.5 + 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. 390 + -15r = 250.5 + 15r + -15r Combine like terms: 15r + -15r = 0 390 + -15r = 250.5 + 0 390 + -15r = 250.5 Add '-390' to each side of the equation. 390 + -390 + -15r = 250.5 + -390 Combine like terms: 390 + -390 = 0 0 + -15r = 250.5 + -390 -15r = 250.5 + -390 Combine like terms: 250.5 + -390 = -139.5 -15r = -139.5 Divide each side by '-15'. r = 9.3 Simplifying r = 9.3
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