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Simplifying 5 + 10r + -2 = 5r + 11 + -3r Reorder the terms: 5 + -2 + 10r = 5r + 11 + -3r Combine like terms: 5 + -2 = 3 3 + 10r = 5r + 11 + -3r Reorder the terms: 3 + 10r = 11 + 5r + -3r Combine like terms: 5r + -3r = 2r 3 + 10r = 11 + 2r Solving 3 + 10r = 11 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 3 + 10r + -2r = 11 + 2r + -2r Combine like terms: 10r + -2r = 8r 3 + 8r = 11 + 2r + -2r Combine like terms: 2r + -2r = 0 3 + 8r = 11 + 0 3 + 8r = 11 Add '-3' to each side of the equation. 3 + -3 + 8r = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 8r = 11 + -3 8r = 11 + -3 Combine like terms: 11 + -3 = 8 8r = 8 Divide each side by '8'. r = 1 Simplifying r = 1
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