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Simplifying -5r + 2 = -7r + -12 Reorder the terms: 2 + -5r = -7r + -12 Reorder the terms: 2 + -5r = -12 + -7r Solving 2 + -5r = -12 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. 2 + -5r + 7r = -12 + -7r + 7r Combine like terms: -5r + 7r = 2r 2 + 2r = -12 + -7r + 7r Combine like terms: -7r + 7r = 0 2 + 2r = -12 + 0 2 + 2r = -12 Add '-2' to each side of the equation. 2 + -2 + 2r = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 2r = -12 + -2 2r = -12 + -2 Combine like terms: -12 + -2 = -14 2r = -14 Divide each side by '2'. r = -7 Simplifying r = -7
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