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Simplifying 3(r + 1) + 7(r + 5) = 338 Reorder the terms: 3(1 + r) + 7(r + 5) = 338 (1 * 3 + r * 3) + 7(r + 5) = 338 (3 + 3r) + 7(r + 5) = 338 Reorder the terms: 3 + 3r + 7(5 + r) = 338 3 + 3r + (5 * 7 + r * 7) = 338 3 + 3r + (35 + 7r) = 338 Reorder the terms: 3 + 35 + 3r + 7r = 338 Combine like terms: 3 + 35 = 38 38 + 3r + 7r = 338 Combine like terms: 3r + 7r = 10r 38 + 10r = 338 Solving 38 + 10r = 338 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 10r = 338 + -38 Combine like terms: 38 + -38 = 0 0 + 10r = 338 + -38 10r = 338 + -38 Combine like terms: 338 + -38 = 300 10r = 300 Divide each side by '10'. r = 30 Simplifying r = 30
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