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Simplifying -4(3 + -1n) = 11(2n + -3) (3 * -4 + -1n * -4) = 11(2n + -3) (-12 + 4n) = 11(2n + -3) Reorder the terms: -12 + 4n = 11(-3 + 2n) -12 + 4n = (-3 * 11 + 2n * 11) -12 + 4n = (-33 + 22n) Solving -12 + 4n = -33 + 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. -12 + 4n + -22n = -33 + 22n + -22n Combine like terms: 4n + -22n = -18n -12 + -18n = -33 + 22n + -22n Combine like terms: 22n + -22n = 0 -12 + -18n = -33 + 0 -12 + -18n = -33 Add '12' to each side of the equation. -12 + 12 + -18n = -33 + 12 Combine like terms: -12 + 12 = 0 0 + -18n = -33 + 12 -18n = -33 + 12 Combine like terms: -33 + 12 = -21 -18n = -21 Divide each side by '-18'. n = 1.166666667 Simplifying n = 1.166666667
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