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Simplifying -6(n + 8) + -8(n + 6) = 6n + 4n Reorder the terms: -6(8 + n) + -8(n + 6) = 6n + 4n (8 * -6 + n * -6) + -8(n + 6) = 6n + 4n (-48 + -6n) + -8(n + 6) = 6n + 4n Reorder the terms: -48 + -6n + -8(6 + n) = 6n + 4n -48 + -6n + (6 * -8 + n * -8) = 6n + 4n -48 + -6n + (-48 + -8n) = 6n + 4n Reorder the terms: -48 + -48 + -6n + -8n = 6n + 4n Combine like terms: -48 + -48 = -96 -96 + -6n + -8n = 6n + 4n Combine like terms: -6n + -8n = -14n -96 + -14n = 6n + 4n Combine like terms: 6n + 4n = 10n -96 + -14n = 10n Solving -96 + -14n = 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -96 + -14n + -10n = 10n + -10n Combine like terms: -14n + -10n = -24n -96 + -24n = 10n + -10n Combine like terms: 10n + -10n = 0 -96 + -24n = 0 Add '96' to each side of the equation. -96 + 96 + -24n = 0 + 96 Combine like terms: -96 + 96 = 0 0 + -24n = 0 + 96 -24n = 0 + 96 Combine like terms: 0 + 96 = 96 -24n = 96 Divide each side by '-24'. n = -4 Simplifying n = -4
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