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Simplifying 8 + 9r + -5 = 9r + 33 + -6r Reorder the terms: 8 + -5 + 9r = 9r + 33 + -6r Combine like terms: 8 + -5 = 3 3 + 9r = 9r + 33 + -6r Reorder the terms: 3 + 9r = 33 + 9r + -6r Combine like terms: 9r + -6r = 3r 3 + 9r = 33 + 3r Solving 3 + 9r = 33 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 3 + 9r + -3r = 33 + 3r + -3r Combine like terms: 9r + -3r = 6r 3 + 6r = 33 + 3r + -3r Combine like terms: 3r + -3r = 0 3 + 6r = 33 + 0 3 + 6r = 33 Add '-3' to each side of the equation. 3 + -3 + 6r = 33 + -3 Combine like terms: 3 + -3 = 0 0 + 6r = 33 + -3 6r = 33 + -3 Combine like terms: 33 + -3 = 30 6r = 30 Divide each side by '6'. r = 5 Simplifying r = 5
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