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Simplifying 5r + 2 = 3r + 8 Reorder the terms: 2 + 5r = 3r + 8 Reorder the terms: 2 + 5r = 8 + 3r Solving 2 + 5r = 8 + 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. 2 + 5r + -3r = 8 + 3r + -3r Combine like terms: 5r + -3r = 2r 2 + 2r = 8 + 3r + -3r Combine like terms: 3r + -3r = 0 2 + 2r = 8 + 0 2 + 2r = 8 Add '-2' to each side of the equation. 2 + -2 + 2r = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 2r = 8 + -2 2r = 8 + -2 Combine like terms: 8 + -2 = 6 2r = 6 Divide each side by '2'. r = 3 Simplifying r = 3
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