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Simplifying 12(n + 4) = 4(16 + 4n) Reorder the terms: 12(4 + n) = 4(16 + 4n) (4 * 12 + n * 12) = 4(16 + 4n) (48 + 12n) = 4(16 + 4n) 48 + 12n = (16 * 4 + 4n * 4) 48 + 12n = (64 + 16n) Solving 48 + 12n = 64 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. 48 + 12n + -16n = 64 + 16n + -16n Combine like terms: 12n + -16n = -4n 48 + -4n = 64 + 16n + -16n Combine like terms: 16n + -16n = 0 48 + -4n = 64 + 0 48 + -4n = 64 Add '-48' to each side of the equation. 48 + -48 + -4n = 64 + -48 Combine like terms: 48 + -48 = 0 0 + -4n = 64 + -48 -4n = 64 + -48 Combine like terms: 64 + -48 = 16 -4n = 16 Divide each side by '-4'. n = -4 Simplifying n = -4
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