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Simplifying 5 + 5r + -2 = 9r + 11 + -3r Reorder the terms: 5 + -2 + 5r = 9r + 11 + -3r Combine like terms: 5 + -2 = 3 3 + 5r = 9r + 11 + -3r Reorder the terms: 3 + 5r = 11 + 9r + -3r Combine like terms: 9r + -3r = 6r 3 + 5r = 11 + 6r Solving 3 + 5r = 11 + 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. 3 + 5r + -6r = 11 + 6r + -6r Combine like terms: 5r + -6r = -1r 3 + -1r = 11 + 6r + -6r Combine like terms: 6r + -6r = 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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