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Simplifying 4r + -5r + 9 = 5r + -9 Reorder the terms: 9 + 4r + -5r = 5r + -9 Combine like terms: 4r + -5r = -1r 9 + -1r = 5r + -9 Reorder the terms: 9 + -1r = -9 + 5r Solving 9 + -1r = -9 + 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. 9 + -1r + -5r = -9 + 5r + -5r Combine like terms: -1r + -5r = -6r 9 + -6r = -9 + 5r + -5r Combine like terms: 5r + -5r = 0 9 + -6r = -9 + 0 9 + -6r = -9 Add '-9' to each side of the equation. 9 + -9 + -6r = -9 + -9 Combine like terms: 9 + -9 = 0 0 + -6r = -9 + -9 -6r = -9 + -9 Combine like terms: -9 + -9 = -18 -6r = -18 Divide each side by '-6'. r = 3 Simplifying r = 3
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