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Simplifying 3r + 8 = 5r + 12 Reorder the terms: 8 + 3r = 5r + 12 Reorder the terms: 8 + 3r = 12 + 5r Solving 8 + 3r = 12 + 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. 8 + 3r + -5r = 12 + 5r + -5r Combine like terms: 3r + -5r = -2r 8 + -2r = 12 + 5r + -5r Combine like terms: 5r + -5r = 0 8 + -2r = 12 + 0 8 + -2r = 12 Add '-8' to each side of the equation. 8 + -8 + -2r = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -2r = 12 + -8 -2r = 12 + -8 Combine like terms: 12 + -8 = 4 -2r = 4 Divide each side by '-2'. r = -2 Simplifying r = -2
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