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Simplifying 1 + 5r = 11 + -5r + 8r Combine like terms: -5r + 8r = 3r 1 + 5r = 11 + 3r Solving 1 + 5r = 11 + 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 = 11 + 3r + -3r Combine like terms: 5r + -3r = 2r 1 + 2r = 11 + 3r + -3r Combine like terms: 3r + -3r = 0 1 + 2r = 11 + 0 1 + 2r = 11 Add '-1' to each side of the equation. 1 + -1 + 2r = 11 + -1 Combine like terms: 1 + -1 = 0 0 + 2r = 11 + -1 2r = 11 + -1 Combine like terms: 11 + -1 = 10 2r = 10 Divide each side by '2'. r = 5 Simplifying r = 5
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