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Simplifying 6(4r + 9) = -34 + -5r Reorder the terms: 6(9 + 4r) = -34 + -5r (9 * 6 + 4r * 6) = -34 + -5r (54 + 24r) = -34 + -5r Solving 54 + 24r = -34 + -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. 54 + 24r + 5r = -34 + -5r + 5r Combine like terms: 24r + 5r = 29r 54 + 29r = -34 + -5r + 5r Combine like terms: -5r + 5r = 0 54 + 29r = -34 + 0 54 + 29r = -34 Add '-54' to each side of the equation. 54 + -54 + 29r = -34 + -54 Combine like terms: 54 + -54 = 0 0 + 29r = -34 + -54 29r = -34 + -54 Combine like terms: -34 + -54 = -88 29r = -88 Divide each side by '29'. r = -3.034482759 Simplifying r = -3.034482759
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