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Simplifying 12 + -2r = 3r + 1 Reorder the terms: 12 + -2r = 1 + 3r Solving 12 + -2r = 1 + 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. 12 + -2r + -3r = 1 + 3r + -3r Combine like terms: -2r + -3r = -5r 12 + -5r = 1 + 3r + -3r Combine like terms: 3r + -3r = 0 12 + -5r = 1 + 0 12 + -5r = 1 Add '-12' to each side of the equation. 12 + -12 + -5r = 1 + -12 Combine like terms: 12 + -12 = 0 0 + -5r = 1 + -12 -5r = 1 + -12 Combine like terms: 1 + -12 = -11 -5r = -11 Divide each side by '-5'. r = 2.2 Simplifying r = 2.2
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