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Simplifying 7r + 1 = 5r + -8 Reorder the terms: 1 + 7r = 5r + -8 Reorder the terms: 1 + 7r = -8 + 5r Solving 1 + 7r = -8 + 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. 1 + 7r + -5r = -8 + 5r + -5r Combine like terms: 7r + -5r = 2r 1 + 2r = -8 + 5r + -5r Combine like terms: 5r + -5r = 0 1 + 2r = -8 + 0 1 + 2r = -8 Add '-1' to each side of the equation. 1 + -1 + 2r = -8 + -1 Combine like terms: 1 + -1 = 0 0 + 2r = -8 + -1 2r = -8 + -1 Combine like terms: -8 + -1 = -9 2r = -9 Divide each side by '2'. r = -4.5 Simplifying r = -4.5
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