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Simplifying 4 + 5r + -1 = 9r + 13 + -2r Reorder the terms: 4 + -1 + 5r = 9r + 13 + -2r Combine like terms: 4 + -1 = 3 3 + 5r = 9r + 13 + -2r Reorder the terms: 3 + 5r = 13 + 9r + -2r Combine like terms: 9r + -2r = 7r 3 + 5r = 13 + 7r Solving 3 + 5r = 13 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 3 + 5r + -7r = 13 + 7r + -7r Combine like terms: 5r + -7r = -2r 3 + -2r = 13 + 7r + -7r Combine like terms: 7r + -7r = 0 3 + -2r = 13 + 0 3 + -2r = 13 Add '-3' to each side of the equation. 3 + -3 + -2r = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -2r = 13 + -3 -2r = 13 + -3 Combine like terms: 13 + -3 = 10 -2r = 10 Divide each side by '-2'. r = -5 Simplifying r = -5
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