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Simplifying 7r + 9 = 5r + -1 Reorder the terms: 9 + 7r = 5r + -1 Reorder the terms: 9 + 7r = -1 + 5r Solving 9 + 7r = -1 + 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 + 7r + -5r = -1 + 5r + -5r Combine like terms: 7r + -5r = 2r 9 + 2r = -1 + 5r + -5r Combine like terms: 5r + -5r = 0 9 + 2r = -1 + 0 9 + 2r = -1 Add '-9' to each side of the equation. 9 + -9 + 2r = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 2r = -1 + -9 2r = -1 + -9 Combine like terms: -1 + -9 = -10 2r = -10 Divide each side by '2'. r = -5 Simplifying r = -5
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