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Simplifying 3r + 8 = 2r + 12 Reorder the terms: 8 + 3r = 2r + 12 Reorder the terms: 8 + 3r = 12 + 2r Solving 8 + 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. 8 + 3r + -2r = 12 + 2r + -2r Combine like terms: 3r + -2r = 1r 8 + 1r = 12 + 2r + -2r Combine like terms: 2r + -2r = 0 8 + 1r = 12 + 0 8 + 1r = 12 Add '-8' to each side of the equation. 8 + -8 + 1r = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 1r = 12 + -8 1r = 12 + -8 Combine like terms: 12 + -8 = 4 1r = 4 Divide each side by '1'. r = 4 Simplifying r = 4
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