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Simplifying 9(-3r + -5) = -11(1 + 4r) Reorder the terms: 9(-5 + -3r) = -11(1 + 4r) (-5 * 9 + -3r * 9) = -11(1 + 4r) (-45 + -27r) = -11(1 + 4r) -45 + -27r = (1 * -11 + 4r * -11) -45 + -27r = (-11 + -44r) Solving -45 + -27r = -11 + -44r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '44r' to each side of the equation. -45 + -27r + 44r = -11 + -44r + 44r Combine like terms: -27r + 44r = 17r -45 + 17r = -11 + -44r + 44r Combine like terms: -44r + 44r = 0 -45 + 17r = -11 + 0 -45 + 17r = -11 Add '45' to each side of the equation. -45 + 45 + 17r = -11 + 45 Combine like terms: -45 + 45 = 0 0 + 17r = -11 + 45 17r = -11 + 45 Combine like terms: -11 + 45 = 34 17r = 34 Divide each side by '17'. r = 2 Simplifying r = 2
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