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Simplifying 12 = 5r + -23 + 2r Reorder the terms: 12 = -23 + 5r + 2r Combine like terms: 5r + 2r = 7r 12 = -23 + 7r Solving 12 = -23 + 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. 12 + -7r = -23 + 7r + -7r Combine like terms: 7r + -7r = 0 12 + -7r = -23 + 0 12 + -7r = -23 Add '-12' to each side of the equation. 12 + -12 + -7r = -23 + -12 Combine like terms: 12 + -12 = 0 0 + -7r = -23 + -12 -7r = -23 + -12 Combine like terms: -23 + -12 = -35 -7r = -35 Divide each side by '-7'. r = 5 Simplifying r = 5
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