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Simplifying 1 + 5r = -2r + -13 Reorder the terms: 1 + 5r = -13 + -2r Solving 1 + 5r = -13 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. 1 + 5r + 2r = -13 + -2r + 2r Combine like terms: 5r + 2r = 7r 1 + 7r = -13 + -2r + 2r Combine like terms: -2r + 2r = 0 1 + 7r = -13 + 0 1 + 7r = -13 Add '-1' to each side of the equation. 1 + -1 + 7r = -13 + -1 Combine like terms: 1 + -1 = 0 0 + 7r = -13 + -1 7r = -13 + -1 Combine like terms: -13 + -1 = -14 7r = -14 Divide each side by '7'. r = -2 Simplifying r = -2
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