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Simplifying 5(r + 9) + -1(1 + -1r) = 1 Reorder the terms: 5(9 + r) + -1(1 + -1r) = 1 (9 * 5 + r * 5) + -1(1 + -1r) = 1 (45 + 5r) + -1(1 + -1r) = 1 45 + 5r + (1 * -1 + -1r * -1) = 1 45 + 5r + (-1 + 1r) = 1 Reorder the terms: 45 + -1 + 5r + 1r = 1 Combine like terms: 45 + -1 = 44 44 + 5r + 1r = 1 Combine like terms: 5r + 1r = 6r 44 + 6r = 1 Solving 44 + 6r = 1 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 6r = 1 + -44 Combine like terms: 44 + -44 = 0 0 + 6r = 1 + -44 6r = 1 + -44 Combine like terms: 1 + -44 = -43 6r = -43 Divide each side by '6'. r = -7.166666667 Simplifying r = -7.166666667
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