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Simplifying 3(9 + 6n) = -11(-2n + -5) (9 * 3 + 6n * 3) = -11(-2n + -5) (27 + 18n) = -11(-2n + -5) Reorder the terms: 27 + 18n = -11(-5 + -2n) 27 + 18n = (-5 * -11 + -2n * -11) 27 + 18n = (55 + 22n) Solving 27 + 18n = 55 + 22n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-22n' to each side of the equation. 27 + 18n + -22n = 55 + 22n + -22n Combine like terms: 18n + -22n = -4n 27 + -4n = 55 + 22n + -22n Combine like terms: 22n + -22n = 0 27 + -4n = 55 + 0 27 + -4n = 55 Add '-27' to each side of the equation. 27 + -27 + -4n = 55 + -27 Combine like terms: 27 + -27 = 0 0 + -4n = 55 + -27 -4n = 55 + -27 Combine like terms: 55 + -27 = 28 -4n = 28 Divide each side by '-4'. n = -7 Simplifying n = -7
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