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Simplifying 3r + 3(r + 5) = 405 Reorder the terms: 3r + 3(5 + r) = 405 3r + (5 * 3 + r * 3) = 405 3r + (15 + 3r) = 405 Reorder the terms: 15 + 3r + 3r = 405 Combine like terms: 3r + 3r = 6r 15 + 6r = 405 Solving 15 + 6r = 405 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 6r = 405 + -15 Combine like terms: 15 + -15 = 0 0 + 6r = 405 + -15 6r = 405 + -15 Combine like terms: 405 + -15 = 390 6r = 390 Divide each side by '6'. r = 65 Simplifying r = 65
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