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Simplifying -4(3 + -1n) = -11(4n + -3) (3 * -4 + -1n * -4) = -11(4n + -3) (-12 + 4n) = -11(4n + -3) Reorder the terms: -12 + 4n = -11(-3 + 4n) -12 + 4n = (-3 * -11 + 4n * -11) -12 + 4n = (33 + -44n) Solving -12 + 4n = 33 + -44n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '44n' to each side of the equation. -12 + 4n + 44n = 33 + -44n + 44n Combine like terms: 4n + 44n = 48n -12 + 48n = 33 + -44n + 44n Combine like terms: -44n + 44n = 0 -12 + 48n = 33 + 0 -12 + 48n = 33 Add '12' to each side of the equation. -12 + 12 + 48n = 33 + 12 Combine like terms: -12 + 12 = 0 0 + 48n = 33 + 12 48n = 33 + 12 Combine like terms: 33 + 12 = 45 48n = 45 Divide each side by '48'. n = 0.9375 Simplifying n = 0.9375
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