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Simplifying -10n + 3(8 + 8n) = -6(-1n + -4) -10n + (8 * 3 + 8n * 3) = -6(-1n + -4) -10n + (24 + 24n) = -6(-1n + -4) Reorder the terms: 24 + -10n + 24n = -6(-1n + -4) Combine like terms: -10n + 24n = 14n 24 + 14n = -6(-1n + -4) Reorder the terms: 24 + 14n = -6(-4 + -1n) 24 + 14n = (-4 * -6 + -1n * -6) 24 + 14n = (24 + 6n) Add '-24' to each side of the equation. 24 + -24 + 14n = 24 + -24 + 6n Combine like terms: 24 + -24 = 0 0 + 14n = 24 + -24 + 6n 14n = 24 + -24 + 6n Combine like terms: 24 + -24 = 0 14n = 0 + 6n 14n = 6n Solving 14n = 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. 14n + -6n = 6n + -6n Combine like terms: 14n + -6n = 8n 8n = 6n + -6n Combine like terms: 6n + -6n = 0 8n = 0 Divide each side by '8'. n = 0 Simplifying n = 0
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