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Simplifying 6 + 5r + -5 = 8r + 15 + -5r Reorder the terms: 6 + -5 + 5r = 8r + 15 + -5r Combine like terms: 6 + -5 = 1 1 + 5r = 8r + 15 + -5r Reorder the terms: 1 + 5r = 15 + 8r + -5r Combine like terms: 8r + -5r = 3r 1 + 5r = 15 + 3r Solving 1 + 5r = 15 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 1 + 5r + -3r = 15 + 3r + -3r Combine like terms: 5r + -3r = 2r 1 + 2r = 15 + 3r + -3r Combine like terms: 3r + -3r = 0 1 + 2r = 15 + 0 1 + 2r = 15 Add '-1' to each side of the equation. 1 + -1 + 2r = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 2r = 15 + -1 2r = 15 + -1 Combine like terms: 15 + -1 = 14 2r = 14 Divide each side by '2'. r = 7 Simplifying r = 7
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