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