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Simplifying 7r + 12 = 2r + -13 Reorder the terms: 12 + 7r = 2r + -13 Reorder the terms: 12 + 7r = -13 + 2r Solving 12 + 7r = -13 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 12 + 7r + -2r = -13 + 2r + -2r Combine like terms: 7r + -2r = 5r 12 + 5r = -13 + 2r + -2r Combine like terms: 2r + -2r = 0 12 + 5r = -13 + 0 12 + 5r = -13 Add '-12' to each side of the equation. 12 + -12 + 5r = -13 + -12 Combine like terms: 12 + -12 = 0 0 + 5r = -13 + -12 5r = -13 + -12 Combine like terms: -13 + -12 = -25 5r = -25 Divide each side by '5'. r = -5 Simplifying r = -5
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