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Simplifying -1(1 + -1r) = -33 + 5r (1 * -1 + -1r * -1) = -33 + 5r (-1 + 1r) = -33 + 5r Solving -1 + 1r = -33 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -1 + 1r + -5r = -33 + 5r + -5r Combine like terms: 1r + -5r = -4r -1 + -4r = -33 + 5r + -5r Combine like terms: 5r + -5r = 0 -1 + -4r = -33 + 0 -1 + -4r = -33 Add '1' to each side of the equation. -1 + 1 + -4r = -33 + 1 Combine like terms: -1 + 1 = 0 0 + -4r = -33 + 1 -4r = -33 + 1 Combine like terms: -33 + 1 = -32 -4r = -32 Divide each side by '-4'. r = 8 Simplifying r = 8
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