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Simplifying 9 + 3r + -6 = 8r + 11 + -4r Reorder the terms: 9 + -6 + 3r = 8r + 11 + -4r Combine like terms: 9 + -6 = 3 3 + 3r = 8r + 11 + -4r Reorder the terms: 3 + 3r = 11 + 8r + -4r Combine like terms: 8r + -4r = 4r 3 + 3r = 11 + 4r Solving 3 + 3r = 11 + 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. 3 + 3r + -4r = 11 + 4r + -4r Combine like terms: 3r + -4r = -1r 3 + -1r = 11 + 4r + -4r Combine like terms: 4r + -4r = 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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