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Simplifying 3(n + -8) = 4 + 4n Reorder the terms: 3(-8 + n) = 4 + 4n (-8 * 3 + n * 3) = 4 + 4n (-24 + 3n) = 4 + 4n Solving -24 + 3n = 4 + 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. -24 + 3n + -4n = 4 + 4n + -4n Combine like terms: 3n + -4n = -1n -24 + -1n = 4 + 4n + -4n Combine like terms: 4n + -4n = 0 -24 + -1n = 4 + 0 -24 + -1n = 4 Add '24' to each side of the equation. -24 + 24 + -1n = 4 + 24 Combine like terms: -24 + 24 = 0 0 + -1n = 4 + 24 -1n = 4 + 24 Combine like terms: 4 + 24 = 28 -1n = 28 Divide each side by '-1'. n = -28 Simplifying n = -28
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