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Simplifying 5r + 6 + -2r = -17 + -8r Reorder the terms: 6 + 5r + -2r = -17 + -8r Combine like terms: 5r + -2r = 3r 6 + 3r = -17 + -8r Solving 6 + 3r = -17 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 6 + 3r + 8r = -17 + -8r + 8r Combine like terms: 3r + 8r = 11r 6 + 11r = -17 + -8r + 8r Combine like terms: -8r + 8r = 0 6 + 11r = -17 + 0 6 + 11r = -17 Add '-6' to each side of the equation. 6 + -6 + 11r = -17 + -6 Combine like terms: 6 + -6 = 0 0 + 11r = -17 + -6 11r = -17 + -6 Combine like terms: -17 + -6 = -23 11r = -23 Divide each side by '11'. r = -2.090909091 Simplifying r = -2.090909091
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