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Simplifying -3(1 + -5r) + -8r = 4r + -36 (1 * -3 + -5r * -3) + -8r = 4r + -36 (-3 + 15r) + -8r = 4r + -36 Combine like terms: 15r + -8r = 7r -3 + 7r = 4r + -36 Reorder the terms: -3 + 7r = -36 + 4r Solving -3 + 7r = -36 + 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. -3 + 7r + -4r = -36 + 4r + -4r Combine like terms: 7r + -4r = 3r -3 + 3r = -36 + 4r + -4r Combine like terms: 4r + -4r = 0 -3 + 3r = -36 + 0 -3 + 3r = -36 Add '3' to each side of the equation. -3 + 3 + 3r = -36 + 3 Combine like terms: -3 + 3 = 0 0 + 3r = -36 + 3 3r = -36 + 3 Combine like terms: -36 + 3 = -33 3r = -33 Divide each side by '3'. r = -11 Simplifying r = -11
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