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Simplifying -1(1 + -7r) + -1r = 6 (1 * -1 + -7r * -1) + -1r = 6 (-1 + 7r) + -1r = 6 Combine like terms: 7r + -1r = 6r -1 + 6r = 6 Solving -1 + 6r = 6 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 6r = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 6r = 6 + 1 6r = 6 + 1 Combine like terms: 6 + 1 = 7 6r = 7 Divide each side by '6'. r = 1.166666667 Simplifying r = 1.166666667
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