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Simplifying 3r + 2 = 2r + 12 Reorder the terms: 2 + 3r = 2r + 12 Reorder the terms: 2 + 3r = 12 + 2r Solving 2 + 3r = 12 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 2 + 3r + -2r = 12 + 2r + -2r Combine like terms: 3r + -2r = 1r 2 + 1r = 12 + 2r + -2r Combine like terms: 2r + -2r = 0 2 + 1r = 12 + 0 2 + 1r = 12 Add '-2' to each side of the equation. 2 + -2 + 1r = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 1r = 12 + -2 1r = 12 + -2 Combine like terms: 12 + -2 = 10 1r = 10 Divide each side by '1'. r = 10 Simplifying r = 10
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