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Simplifying -3(5r + 9) = -4r + -9 Reorder the terms: -3(9 + 5r) = -4r + -9 (9 * -3 + 5r * -3) = -4r + -9 (-27 + -15r) = -4r + -9 Reorder the terms: -27 + -15r = -9 + -4r Solving -27 + -15r = -9 + -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. -27 + -15r + 4r = -9 + -4r + 4r Combine like terms: -15r + 4r = -11r -27 + -11r = -9 + -4r + 4r Combine like terms: -4r + 4r = 0 -27 + -11r = -9 + 0 -27 + -11r = -9 Add '27' to each side of the equation. -27 + 27 + -11r = -9 + 27 Combine like terms: -27 + 27 = 0 0 + -11r = -9 + 27 -11r = -9 + 27 Combine like terms: -9 + 27 = 18 -11r = 18 Divide each side by '-11'. r = -1.636363636 Simplifying r = -1.636363636
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