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Simplifying r + -1 = 11 + 7r Reorder the terms: -1 + r = 11 + 7r Solving -1 + r = 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. -1 + r + -7r = 11 + 7r + -7r Combine like terms: r + -7r = -6r -1 + -6r = 11 + 7r + -7r Combine like terms: 7r + -7r = 0 -1 + -6r = 11 + 0 -1 + -6r = 11 Add '1' to each side of the equation. -1 + 1 + -6r = 11 + 1 Combine like terms: -1 + 1 = 0 0 + -6r = 11 + 1 -6r = 11 + 1 Combine like terms: 11 + 1 = 12 -6r = 12 Divide each side by '-6'. r = -2 Simplifying r = -2
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