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Simplifying -1(r + -5) = -1(1 + -4r) + -7r Reorder the terms: -1(-5 + r) = -1(1 + -4r) + -7r (-5 * -1 + r * -1) = -1(1 + -4r) + -7r (5 + -1r) = -1(1 + -4r) + -7r 5 + -1r = (1 * -1 + -4r * -1) + -7r 5 + -1r = (-1 + 4r) + -7r Combine like terms: 4r + -7r = -3r 5 + -1r = -1 + -3r Solving 5 + -1r = -1 + -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 + -1r + 3r = -1 + -3r + 3r Combine like terms: -1r + 3r = 2r 5 + 2r = -1 + -3r + 3r Combine like terms: -3r + 3r = 0 5 + 2r = -1 + 0 5 + 2r = -1 Add '-5' to each side of the equation. 5 + -5 + 2r = -1 + -5 Combine like terms: 5 + -5 = 0 0 + 2r = -1 + -5 2r = -1 + -5 Combine like terms: -1 + -5 = -6 2r = -6 Divide each side by '2'. r = -3 Simplifying r = -3
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