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Simplifying -3(4n + -4) + -9 = (4n + -5) Reorder the terms: -3(-4 + 4n) + -9 = (4n + -5) (-4 * -3 + 4n * -3) + -9 = (4n + -5) (12 + -12n) + -9 = (4n + -5) Reorder the terms: 12 + -9 + -12n = (4n + -5) Combine like terms: 12 + -9 = 3 3 + -12n = (4n + -5) Reorder the terms: 3 + -12n = (-5 + 4n) Remove parenthesis around (-5 + 4n) 3 + -12n = -5 + 4n Solving 3 + -12n = -5 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 3 + -12n + -4n = -5 + 4n + -4n Combine like terms: -12n + -4n = -16n 3 + -16n = -5 + 4n + -4n Combine like terms: 4n + -4n = 0 3 + -16n = -5 + 0 3 + -16n = -5 Add '-3' to each side of the equation. 3 + -3 + -16n = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -16n = -5 + -3 -16n = -5 + -3 Combine like terms: -5 + -3 = -8 -16n = -8 Divide each side by '-16'. n = 0.5 Simplifying n = 0.5
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