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Simplifying 2r + 8(1 + -1r) = -7r + 11 2r + (1 * 8 + -1r * 8) = -7r + 11 2r + (8 + -8r) = -7r + 11 Reorder the terms: 8 + 2r + -8r = -7r + 11 Combine like terms: 2r + -8r = -6r 8 + -6r = -7r + 11 Reorder the terms: 8 + -6r = 11 + -7r Solving 8 + -6r = 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. 8 + -6r + 7r = 11 + -7r + 7r Combine like terms: -6r + 7r = 1r 8 + 1r = 11 + -7r + 7r Combine like terms: -7r + 7r = 0 8 + 1r = 11 + 0 8 + 1r = 11 Add '-8' to each side of the equation. 8 + -8 + 1r = 11 + -8 Combine like terms: 8 + -8 = 0 0 + 1r = 11 + -8 1r = 11 + -8 Combine like terms: 11 + -8 = 3 1r = 3 Divide each side by '1'. r = 3 Simplifying r = 3
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