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Simplifying 31 = 2r + 6r + -11 Reorder the terms: 31 = -11 + 2r + 6r Combine like terms: 2r + 6r = 8r 31 = -11 + 8r Solving 31 = -11 + 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. 31 + -8r = -11 + 8r + -8r Combine like terms: 8r + -8r = 0 31 + -8r = -11 + 0 31 + -8r = -11 Add '-31' to each side of the equation. 31 + -31 + -8r = -11 + -31 Combine like terms: 31 + -31 = 0 0 + -8r = -11 + -31 -8r = -11 + -31 Combine like terms: -11 + -31 = -42 -8r = -42 Divide each side by '-8'. r = 5.25 Simplifying r = 5.25
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