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Simplifying 7r + -1 = 5r + -13 Reorder the terms: -1 + 7r = 5r + -13 Reorder the terms: -1 + 7r = -13 + 5r Solving -1 + 7r = -13 + 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 = -13 + 5r + -5r Combine like terms: 7r + -5r = 2r -1 + 2r = -13 + 5r + -5r Combine like terms: 5r + -5r = 0 -1 + 2r = -13 + 0 -1 + 2r = -13 Add '1' to each side of the equation. -1 + 1 + 2r = -13 + 1 Combine like terms: -1 + 1 = 0 0 + 2r = -13 + 1 2r = -13 + 1 Combine like terms: -13 + 1 = -12 2r = -12 Divide each side by '2'. r = -6 Simplifying r = -6
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