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Simplifying 11 = r + -5 + 7r Reorder the terms: 11 = -5 + r + 7r Combine like terms: r + 7r = 8r 11 = -5 + 8r Solving 11 = -5 + 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. 11 + -8r = -5 + 8r + -8r Combine like terms: 8r + -8r = 0 11 + -8r = -5 + 0 11 + -8r = -5 Add '-11' to each side of the equation. 11 + -11 + -8r = -5 + -11 Combine like terms: 11 + -11 = 0 0 + -8r = -5 + -11 -8r = -5 + -11 Combine like terms: -5 + -11 = -16 -8r = -16 Divide each side by '-8'. r = 2 Simplifying r = 2
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