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Simplifying 8 + 6r + -2 = 9r + 11 + -2r Reorder the terms: 8 + -2 + 6r = 9r + 11 + -2r Combine like terms: 8 + -2 = 6 6 + 6r = 9r + 11 + -2r Reorder the terms: 6 + 6r = 11 + 9r + -2r Combine like terms: 9r + -2r = 7r 6 + 6r = 11 + 7r Solving 6 + 6r = 11 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 6 + 6r + -7r = 11 + 7r + -7r Combine like terms: 6r + -7r = -1r 6 + -1r = 11 + 7r + -7r Combine like terms: 7r + -7r = 0 6 + -1r = 11 + 0 6 + -1r = 11 Add '-6' to each side of the equation. 6 + -6 + -1r = 11 + -6 Combine like terms: 6 + -6 = 0 0 + -1r = 11 + -6 -1r = 11 + -6 Combine like terms: 11 + -6 = 5 -1r = 5 Divide each side by '-1'. r = -5 Simplifying r = -5
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