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Simplifying 3(n + -8) = 12 + 2n Reorder the terms: 3(-8 + n) = 12 + 2n (-8 * 3 + n * 3) = 12 + 2n (-24 + 3n) = 12 + 2n Solving -24 + 3n = 12 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -24 + 3n + -2n = 12 + 2n + -2n Combine like terms: 3n + -2n = 1n -24 + 1n = 12 + 2n + -2n Combine like terms: 2n + -2n = 0 -24 + 1n = 12 + 0 -24 + 1n = 12 Add '24' to each side of the equation. -24 + 24 + 1n = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 1n = 12 + 24 1n = 12 + 24 Combine like terms: 12 + 24 = 36 1n = 36 Divide each side by '1'. n = 36 Simplifying n = 36
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