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Simplifying 9r + 17 = 6r + 32 Reorder the terms: 17 + 9r = 6r + 32 Reorder the terms: 17 + 9r = 32 + 6r Solving 17 + 9r = 32 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 17 + 9r + -6r = 32 + 6r + -6r Combine like terms: 9r + -6r = 3r 17 + 3r = 32 + 6r + -6r Combine like terms: 6r + -6r = 0 17 + 3r = 32 + 0 17 + 3r = 32 Add '-17' to each side of the equation. 17 + -17 + 3r = 32 + -17 Combine like terms: 17 + -17 = 0 0 + 3r = 32 + -17 3r = 32 + -17 Combine like terms: 32 + -17 = 15 3r = 15 Divide each side by '3'. r = 5 Simplifying r = 5
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