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Simplifying 3r + 10 = 5r + 2 Reorder the terms: 10 + 3r = 5r + 2 Reorder the terms: 10 + 3r = 2 + 5r Solving 10 + 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. 10 + 3r + -5r = 2 + 5r + -5r Combine like terms: 3r + -5r = -2r 10 + -2r = 2 + 5r + -5r Combine like terms: 5r + -5r = 0 10 + -2r = 2 + 0 10 + -2r = 2 Add '-10' to each side of the equation. 10 + -10 + -2r = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -2r = 2 + -10 -2r = 2 + -10 Combine like terms: 2 + -10 = -8 -2r = -8 Divide each side by '-2'. r = 4 Simplifying r = 4
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