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Simplifying 3 + -4r = 5r + 12 Reorder the terms: 3 + -4r = 12 + 5r Solving 3 + -4r = 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. 3 + -4r + -5r = 12 + 5r + -5r Combine like terms: -4r + -5r = -9r 3 + -9r = 12 + 5r + -5r Combine like terms: 5r + -5r = 0 3 + -9r = 12 + 0 3 + -9r = 12 Add '-3' to each side of the equation. 3 + -3 + -9r = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -9r = 12 + -3 -9r = 12 + -3 Combine like terms: 12 + -3 = 9 -9r = 9 Divide each side by '-9'. r = -1 Simplifying r = -1
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