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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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