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Simplifying 3(1 + 5r) = 5r + 23 (1 * 3 + 5r * 3) = 5r + 23 (3 + 15r) = 5r + 23 Reorder the terms: 3 + 15r = 23 + 5r Solving 3 + 15r = 23 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 3 + 15r + -5r = 23 + 5r + -5r Combine like terms: 15r + -5r = 10r 3 + 10r = 23 + 5r + -5r Combine like terms: 5r + -5r = 0 3 + 10r = 23 + 0 3 + 10r = 23 Add '-3' to each side of the equation. 3 + -3 + 10r = 23 + -3 Combine like terms: 3 + -3 = 0 0 + 10r = 23 + -3 10r = 23 + -3 Combine like terms: 23 + -3 = 20 10r = 20 Divide each side by '10'. r = 2 Simplifying r = 2
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