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Simplifying 4(n + 4) = -12(n + -4) Reorder the terms: 4(4 + n) = -12(n + -4) (4 * 4 + n * 4) = -12(n + -4) (16 + 4n) = -12(n + -4) Reorder the terms: 16 + 4n = -12(-4 + n) 16 + 4n = (-4 * -12 + n * -12) 16 + 4n = (48 + -12n) Solving 16 + 4n = 48 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. 16 + 4n + 12n = 48 + -12n + 12n Combine like terms: 4n + 12n = 16n 16 + 16n = 48 + -12n + 12n Combine like terms: -12n + 12n = 0 16 + 16n = 48 + 0 16 + 16n = 48 Add '-16' to each side of the equation. 16 + -16 + 16n = 48 + -16 Combine like terms: 16 + -16 = 0 0 + 16n = 48 + -16 16n = 48 + -16 Combine like terms: 48 + -16 = 32 16n = 32 Divide each side by '16'. n = 2 Simplifying n = 2
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