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Simplifying 8 + 2r + -5 = 9r + 11 + -6r Reorder the terms: 8 + -5 + 2r = 9r + 11 + -6r Combine like terms: 8 + -5 = 3 3 + 2r = 9r + 11 + -6r Reorder the terms: 3 + 2r = 11 + 9r + -6r Combine like terms: 9r + -6r = 3r 3 + 2r = 11 + 3r Solving 3 + 2r = 11 + 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 + 2r + -3r = 11 + 3r + -3r Combine like terms: 2r + -3r = -1r 3 + -1r = 11 + 3r + -3r Combine like terms: 3r + -3r = 0 3 + -1r = 11 + 0 3 + -1r = 11 Add '-3' to each side of the equation. 3 + -3 + -1r = 11 + -3 Combine like terms: 3 + -3 = 0 0 + -1r = 11 + -3 -1r = 11 + -3 Combine like terms: 11 + -3 = 8 -1r = 8 Divide each side by '-1'. r = -8 Simplifying r = -8
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