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Simplifying 10 + 1 + 2r + -5r = 3r + 5 Combine like terms: 10 + 1 = 11 11 + 2r + -5r = 3r + 5 Combine like terms: 2r + -5r = -3r 11 + -3r = 3r + 5 Reorder the terms: 11 + -3r = 5 + 3r Solving 11 + -3r = 5 + 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. 11 + -3r + -3r = 5 + 3r + -3r Combine like terms: -3r + -3r = -6r 11 + -6r = 5 + 3r + -3r Combine like terms: 3r + -3r = 0 11 + -6r = 5 + 0 11 + -6r = 5 Add '-11' to each side of the equation. 11 + -11 + -6r = 5 + -11 Combine like terms: 11 + -11 = 0 0 + -6r = 5 + -11 -6r = 5 + -11 Combine like terms: 5 + -11 = -6 -6r = -6 Divide each side by '-6'. r = 1 Simplifying r = 1
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