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Simplifying 6(n + 4) = 4(16 + 4n) Reorder the terms: 6(4 + n) = 4(16 + 4n) (4 * 6 + n * 6) = 4(16 + 4n) (24 + 6n) = 4(16 + 4n) 24 + 6n = (16 * 4 + 4n * 4) 24 + 6n = (64 + 16n) Solving 24 + 6n = 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. 24 + 6n + -16n = 64 + 16n + -16n Combine like terms: 6n + -16n = -10n 24 + -10n = 64 + 16n + -16n Combine like terms: 16n + -16n = 0 24 + -10n = 64 + 0 24 + -10n = 64 Add '-24' to each side of the equation. 24 + -24 + -10n = 64 + -24 Combine like terms: 24 + -24 = 0 0 + -10n = 64 + -24 -10n = 64 + -24 Combine like terms: 64 + -24 = 40 -10n = 40 Divide each side by '-10'. n = -4 Simplifying n = -4
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