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Simplifying 4n + -2 + 7n + 6 = 2n + 2(4n + 6) Reorder the terms: -2 + 6 + 4n + 7n = 2n + 2(4n + 6) Combine like terms: -2 + 6 = 4 4 + 4n + 7n = 2n + 2(4n + 6) Combine like terms: 4n + 7n = 11n 4 + 11n = 2n + 2(4n + 6) Reorder the terms: 4 + 11n = 2n + 2(6 + 4n) 4 + 11n = 2n + (6 * 2 + 4n * 2) 4 + 11n = 2n + (12 + 8n) Reorder the terms: 4 + 11n = 12 + 2n + 8n Combine like terms: 2n + 8n = 10n 4 + 11n = 12 + 10n Solving 4 + 11n = 12 + 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. 4 + 11n + -10n = 12 + 10n + -10n Combine like terms: 11n + -10n = 1n 4 + 1n = 12 + 10n + -10n Combine like terms: 10n + -10n = 0 4 + 1n = 12 + 0 4 + 1n = 12 Add '-4' to each side of the equation. 4 + -4 + 1n = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 1n = 12 + -4 1n = 12 + -4 Combine like terms: 12 + -4 = 8 1n = 8 Divide each side by '1'. n = 8 Simplifying n = 8
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