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