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Simplifying 6(n + -4) = 2(n + 12) Reorder the terms: 6(-4 + n) = 2(n + 12) (-4 * 6 + n * 6) = 2(n + 12) (-24 + 6n) = 2(n + 12) Reorder the terms: -24 + 6n = 2(12 + n) -24 + 6n = (12 * 2 + n * 2) -24 + 6n = (24 + 2n) Solving -24 + 6n = 24 + 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 + 6n + -2n = 24 + 2n + -2n Combine like terms: 6n + -2n = 4n -24 + 4n = 24 + 2n + -2n Combine like terms: 2n + -2n = 0 -24 + 4n = 24 + 0 -24 + 4n = 24 Add '24' to each side of the equation. -24 + 24 + 4n = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 4n = 24 + 24 4n = 24 + 24 Combine like terms: 24 + 24 = 48 4n = 48 Divide each side by '4'. n = 12 Simplifying n = 12
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