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