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Simplifying 2r + 8 = 5r + -13 Reorder the terms: 8 + 2r = 5r + -13 Reorder the terms: 8 + 2r = -13 + 5r Solving 8 + 2r = -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. 8 + 2r + -5r = -13 + 5r + -5r Combine like terms: 2r + -5r = -3r 8 + -3r = -13 + 5r + -5r Combine like terms: 5r + -5r = 0 8 + -3r = -13 + 0 8 + -3r = -13 Add '-8' to each side of the equation. 8 + -8 + -3r = -13 + -8 Combine like terms: 8 + -8 = 0 0 + -3r = -13 + -8 -3r = -13 + -8 Combine like terms: -13 + -8 = -21 -3r = -21 Divide each side by '-3'. r = 7 Simplifying r = 7
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