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Simplifying 4(5 + 2r) = 5r + 29 (5 * 4 + 2r * 4) = 5r + 29 (20 + 8r) = 5r + 29 Reorder the terms: 20 + 8r = 29 + 5r Solving 20 + 8r = 29 + 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. 20 + 8r + -5r = 29 + 5r + -5r Combine like terms: 8r + -5r = 3r 20 + 3r = 29 + 5r + -5r Combine like terms: 5r + -5r = 0 20 + 3r = 29 + 0 20 + 3r = 29 Add '-20' to each side of the equation. 20 + -20 + 3r = 29 + -20 Combine like terms: 20 + -20 = 0 0 + 3r = 29 + -20 3r = 29 + -20 Combine like terms: 29 + -20 = 9 3r = 9 Divide each side by '3'. r = 3 Simplifying r = 3
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