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Simplifying 11 + 5r = 3(r + 1) Reorder the terms: 11 + 5r = 3(1 + r) 11 + 5r = (1 * 3 + r * 3) 11 + 5r = (3 + 3r) Solving 11 + 5r = 3 + 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 + 5r + -3r = 3 + 3r + -3r Combine like terms: 5r + -3r = 2r 11 + 2r = 3 + 3r + -3r Combine like terms: 3r + -3r = 0 11 + 2r = 3 + 0 11 + 2r = 3 Add '-11' to each side of the equation. 11 + -11 + 2r = 3 + -11 Combine like terms: 11 + -11 = 0 0 + 2r = 3 + -11 2r = 3 + -11 Combine like terms: 3 + -11 = -8 2r = -8 Divide each side by '2'. r = -4 Simplifying r = -4
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