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Simplifying 3(8 + 8n) + -10n = -6(n + 4) (8 * 3 + 8n * 3) + -10n = -6(n + 4) (24 + 24n) + -10n = -6(n + 4) Combine like terms: 24n + -10n = 14n 24 + 14n = -6(n + 4) Reorder the terms: 24 + 14n = -6(4 + n) 24 + 14n = (4 * -6 + n * -6) 24 + 14n = (-24 + -6n) Solving 24 + 14n = -24 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 24 + 14n + 6n = -24 + -6n + 6n Combine like terms: 14n + 6n = 20n 24 + 20n = -24 + -6n + 6n Combine like terms: -6n + 6n = 0 24 + 20n = -24 + 0 24 + 20n = -24 Add '-24' to each side of the equation. 24 + -24 + 20n = -24 + -24 Combine like terms: 24 + -24 = 0 0 + 20n = -24 + -24 20n = -24 + -24 Combine like terms: -24 + -24 = -48 20n = -48 Divide each side by '20'. n = -2.4 Simplifying n = -2.4
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