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Simplifying -23 = 8r + 12 + -13r Reorder the terms: -23 = 12 + 8r + -13r Combine like terms: 8r + -13r = -5r -23 = 12 + -5r Solving -23 = 12 + -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. -23 + 5r = 12 + -5r + 5r Combine like terms: -5r + 5r = 0 -23 + 5r = 12 + 0 -23 + 5r = 12 Add '23' to each side of the equation. -23 + 23 + 5r = 12 + 23 Combine like terms: -23 + 23 = 0 0 + 5r = 12 + 23 5r = 12 + 23 Combine like terms: 12 + 23 = 35 5r = 35 Divide each side by '5'. r = 7 Simplifying r = 7
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