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Simplifying 7r + 14 = 12 + 5r Reorder the terms: 14 + 7r = 12 + 5r Solving 14 + 7r = 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. 14 + 7r + -5r = 12 + 5r + -5r Combine like terms: 7r + -5r = 2r 14 + 2r = 12 + 5r + -5r Combine like terms: 5r + -5r = 0 14 + 2r = 12 + 0 14 + 2r = 12 Add '-14' to each side of the equation. 14 + -14 + 2r = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 2r = 12 + -14 2r = 12 + -14 Combine like terms: 12 + -14 = -2 2r = -2 Divide each side by '2'. r = -1 Simplifying r = -1
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