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Simplifying -1(1 + -1r) = 4r + 8 (1 * -1 + -1r * -1) = 4r + 8 (-1 + 1r) = 4r + 8 Reorder the terms: -1 + 1r = 8 + 4r Solving -1 + 1r = 8 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -1 + 1r + -4r = 8 + 4r + -4r Combine like terms: 1r + -4r = -3r -1 + -3r = 8 + 4r + -4r Combine like terms: 4r + -4r = 0 -1 + -3r = 8 + 0 -1 + -3r = 8 Add '1' to each side of the equation. -1 + 1 + -3r = 8 + 1 Combine like terms: -1 + 1 = 0 0 + -3r = 8 + 1 -3r = 8 + 1 Combine like terms: 8 + 1 = 9 -3r = 9 Divide each side by '-3'. r = -3 Simplifying r = -3
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