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