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Simplifying 6(n + -2) + 4n = 8n Reorder the terms: 6(-2 + n) + 4n = 8n (-2 * 6 + n * 6) + 4n = 8n (-12 + 6n) + 4n = 8n Combine like terms: 6n + 4n = 10n -12 + 10n = 8n Solving -12 + 10n = 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -12 + 10n + -8n = 8n + -8n Combine like terms: 10n + -8n = 2n -12 + 2n = 8n + -8n Combine like terms: 8n + -8n = 0 -12 + 2n = 0 Add '12' to each side of the equation. -12 + 12 + 2n = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2n = 0 + 12 2n = 0 + 12 Combine like terms: 0 + 12 = 12 2n = 12 Divide each side by '2'. n = 6 Simplifying n = 6
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