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Simplifying -3(r + -3) + 5r = -4r + -27 Reorder the terms: -3(-3 + r) + 5r = -4r + -27 (-3 * -3 + r * -3) + 5r = -4r + -27 (9 + -3r) + 5r = -4r + -27 Combine like terms: -3r + 5r = 2r 9 + 2r = -4r + -27 Reorder the terms: 9 + 2r = -27 + -4r Solving 9 + 2r = -27 + -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. 9 + 2r + 4r = -27 + -4r + 4r Combine like terms: 2r + 4r = 6r 9 + 6r = -27 + -4r + 4r Combine like terms: -4r + 4r = 0 9 + 6r = -27 + 0 9 + 6r = -27 Add '-9' to each side of the equation. 9 + -9 + 6r = -27 + -9 Combine like terms: 9 + -9 = 0 0 + 6r = -27 + -9 6r = -27 + -9 Combine like terms: -27 + -9 = -36 6r = -36 Divide each side by '6'. r = -6 Simplifying r = -6
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