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Simplifying -2r + 3 = 5r + -11 Reorder the terms: 3 + -2r = 5r + -11 Reorder the terms: 3 + -2r = -11 + 5r Solving 3 + -2r = -11 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 3 + -2r + -5r = -11 + 5r + -5r Combine like terms: -2r + -5r = -7r 3 + -7r = -11 + 5r + -5r Combine like terms: 5r + -5r = 0 3 + -7r = -11 + 0 3 + -7r = -11 Add '-3' to each side of the equation. 3 + -3 + -7r = -11 + -3 Combine like terms: 3 + -3 = 0 0 + -7r = -11 + -3 -7r = -11 + -3 Combine like terms: -11 + -3 = -14 -7r = -14 Divide each side by '-7'. r = 2 Simplifying r = 2
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