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Simplifying 7 + 8r + -2 = 9r + 29 + -4r Reorder the terms: 7 + -2 + 8r = 9r + 29 + -4r Combine like terms: 7 + -2 = 5 5 + 8r = 9r + 29 + -4r Reorder the terms: 5 + 8r = 29 + 9r + -4r Combine like terms: 9r + -4r = 5r 5 + 8r = 29 + 5r Solving 5 + 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. 5 + 8r + -5r = 29 + 5r + -5r Combine like terms: 8r + -5r = 3r 5 + 3r = 29 + 5r + -5r Combine like terms: 5r + -5r = 0 5 + 3r = 29 + 0 5 + 3r = 29 Add '-5' to each side of the equation. 5 + -5 + 3r = 29 + -5 Combine like terms: 5 + -5 = 0 0 + 3r = 29 + -5 3r = 29 + -5 Combine like terms: 29 + -5 = 24 3r = 24 Divide each side by '3'. r = 8 Simplifying r = 8
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