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Simplifying 2r + 3 = 5r + -5 Reorder the terms: 3 + 2r = 5r + -5 Reorder the terms: 3 + 2r = -5 + 5r Solving 3 + 2r = -5 + 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 = -5 + 5r + -5r Combine like terms: 2r + -5r = -3r 3 + -3r = -5 + 5r + -5r Combine like terms: 5r + -5r = 0 3 + -3r = -5 + 0 3 + -3r = -5 Add '-3' to each side of the equation. 3 + -3 + -3r = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -3r = -5 + -3 -3r = -5 + -3 Combine like terms: -5 + -3 = -8 -3r = -8 Divide each side by '-3'. r = 2.666666667 Simplifying r = 2.666666667
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