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Simplifying 4(12 + -1n) = 12(n + -4) (12 * 4 + -1n * 4) = 12(n + -4) (48 + -4n) = 12(n + -4) Reorder the terms: 48 + -4n = 12(-4 + n) 48 + -4n = (-4 * 12 + n * 12) 48 + -4n = (-48 + 12n) Solving 48 + -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. 48 + -4n + -12n = -48 + 12n + -12n Combine like terms: -4n + -12n = -16n 48 + -16n = -48 + 12n + -12n Combine like terms: 12n + -12n = 0 48 + -16n = -48 + 0 48 + -16n = -48 Add '-48' to each side of the equation. 48 + -48 + -16n = -48 + -48 Combine like terms: 48 + -48 = 0 0 + -16n = -48 + -48 -16n = -48 + -48 Combine like terms: -48 + -48 = -96 -16n = -96 Divide each side by '-16'. n = 6 Simplifying n = 6
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