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Simplifying -10n + 3(8 + 8n) = 6(n + -4) -10n + (8 * 3 + 8n * 3) = 6(n + -4) -10n + (24 + 24n) = 6(n + -4) Reorder the terms: 24 + -10n + 24n = 6(n + -4) Combine like terms: -10n + 24n = 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 = 8n 24 + 8n = -24 + 6n + -6n Combine like terms: 6n + -6n = 0 24 + 8n = -24 + 0 24 + 8n = -24 Add '-24' to each side of the equation. 24 + -24 + 8n = -24 + -24 Combine like terms: 24 + -24 = 0 0 + 8n = -24 + -24 8n = -24 + -24 Combine like terms: -24 + -24 = -48 8n = -48 Divide each side by '8'. n = -6 Simplifying n = -6
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