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Simplifying -1(5 + -1r) = 2 + -6r (5 * -1 + -1r * -1) = 2 + -6r (-5 + 1r) = 2 + -6r Solving -5 + 1r = 2 + -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. -5 + 1r + 6r = 2 + -6r + 6r Combine like terms: 1r + 6r = 7r -5 + 7r = 2 + -6r + 6r Combine like terms: -6r + 6r = 0 -5 + 7r = 2 + 0 -5 + 7r = 2 Add '5' to each side of the equation. -5 + 5 + 7r = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 7r = 2 + 5 7r = 2 + 5 Combine like terms: 2 + 5 = 7 7r = 7 Divide each side by '7'. r = 1 Simplifying r = 1
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