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Simplifying -10n + 3(8 + 8n) = -6(n + -4) + 40 + 10n -10n + (8 * 3 + 8n * 3) = -6(n + -4) + 40 + 10n -10n + (24 + 24n) = -6(n + -4) + 40 + 10n Reorder the terms: 24 + -10n + 24n = -6(n + -4) + 40 + 10n Combine like terms: -10n + 24n = 14n 24 + 14n = -6(n + -4) + 40 + 10n Reorder the terms: 24 + 14n = -6(-4 + n) + 40 + 10n 24 + 14n = (-4 * -6 + n * -6) + 40 + 10n 24 + 14n = (24 + -6n) + 40 + 10n Reorder the terms: 24 + 14n = 24 + 40 + -6n + 10n Combine like terms: 24 + 40 = 64 24 + 14n = 64 + -6n + 10n Combine like terms: -6n + 10n = 4n 24 + 14n = 64 + 4n Solving 24 + 14n = 64 + 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 + 14n + -4n = 64 + 4n + -4n Combine like terms: 14n + -4n = 10n 24 + 10n = 64 + 4n + -4n Combine like terms: 4n + -4n = 0 24 + 10n = 64 + 0 24 + 10n = 64 Add '-24' to each side of the equation. 24 + -24 + 10n = 64 + -24 Combine like terms: 24 + -24 = 0 0 + 10n = 64 + -24 10n = 64 + -24 Combine like terms: 64 + -24 = 40 10n = 40 Divide each side by '10'. n = 4 Simplifying n = 4
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