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Simplifying 7r + -11 = 1 + r Reorder the terms: -11 + 7r = 1 + r Solving -11 + 7r = 1 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -11 + 7r + -1r = 1 + r + -1r Combine like terms: 7r + -1r = 6r -11 + 6r = 1 + r + -1r Combine like terms: r + -1r = 0 -11 + 6r = 1 + 0 -11 + 6r = 1 Add '11' to each side of the equation. -11 + 11 + 6r = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 6r = 1 + 11 6r = 1 + 11 Combine like terms: 1 + 11 = 12 6r = 12 Divide each side by '6'. r = 2 Simplifying r = 2
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