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Simplifying 9 + 6r + -2 = 9r + 23 + -5r Reorder the terms: 9 + -2 + 6r = 9r + 23 + -5r Combine like terms: 9 + -2 = 7 7 + 6r = 9r + 23 + -5r Reorder the terms: 7 + 6r = 23 + 9r + -5r Combine like terms: 9r + -5r = 4r 7 + 6r = 23 + 4r Solving 7 + 6r = 23 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 7 + 6r + -4r = 23 + 4r + -4r Combine like terms: 6r + -4r = 2r 7 + 2r = 23 + 4r + -4r Combine like terms: 4r + -4r = 0 7 + 2r = 23 + 0 7 + 2r = 23 Add '-7' to each side of the equation. 7 + -7 + 2r = 23 + -7 Combine like terms: 7 + -7 = 0 0 + 2r = 23 + -7 2r = 23 + -7 Combine like terms: 23 + -7 = 16 2r = 16 Divide each side by '2'. r = 8 Simplifying r = 8
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