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Simplifying 4(3r + 5) = 5r + -29 Reorder the terms: 4(5 + 3r) = 5r + -29 (5 * 4 + 3r * 4) = 5r + -29 (20 + 12r) = 5r + -29 Reorder the terms: 20 + 12r = -29 + 5r Solving 20 + 12r = -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 + 12r + -5r = -29 + 5r + -5r Combine like terms: 12r + -5r = 7r 20 + 7r = -29 + 5r + -5r Combine like terms: 5r + -5r = 0 20 + 7r = -29 + 0 20 + 7r = -29 Add '-20' to each side of the equation. 20 + -20 + 7r = -29 + -20 Combine like terms: 20 + -20 = 0 0 + 7r = -29 + -20 7r = -29 + -20 Combine like terms: -29 + -20 = -49 7r = -49 Divide each side by '7'. r = -7 Simplifying r = -7
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