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Simplifying -1(-1r + -5) + 4r = -27 + -3r Reorder the terms: -1(-5 + -1r) + 4r = -27 + -3r (-5 * -1 + -1r * -1) + 4r = -27 + -3r (5 + 1r) + 4r = -27 + -3r Combine like terms: 1r + 4r = 5r 5 + 5r = -27 + -3r Solving 5 + 5r = -27 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. 5 + 5r + 3r = -27 + -3r + 3r Combine like terms: 5r + 3r = 8r 5 + 8r = -27 + -3r + 3r Combine like terms: -3r + 3r = 0 5 + 8r = -27 + 0 5 + 8r = -27 Add '-5' to each side of the equation. 5 + -5 + 8r = -27 + -5 Combine like terms: 5 + -5 = 0 0 + 8r = -27 + -5 8r = -27 + -5 Combine like terms: -27 + -5 = -32 8r = -32 Divide each side by '8'. r = -4 Simplifying r = -4
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