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Simplifying 6n + -2[7(n + 1) + 4] = 10n Reorder the terms: 6n + -2[7(1 + n) + 4] = 10n 6n + -2[(1 * 7 + n * 7) + 4] = 10n 6n + -2[(7 + 7n) + 4] = 10n Reorder the terms: 6n + -2[7 + 4 + 7n] = 10n Combine like terms: 7 + 4 = 11 6n + -2[11 + 7n] = 10n 6n + [11 * -2 + 7n * -2] = 10n 6n + [-22 + -14n] = 10n Reorder the terms: -22 + 6n + -14n = 10n Combine like terms: 6n + -14n = -8n -22 + -8n = 10n Solving -22 + -8n = 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. -22 + -8n + -10n = 10n + -10n Combine like terms: -8n + -10n = -18n -22 + -18n = 10n + -10n Combine like terms: 10n + -10n = 0 -22 + -18n = 0 Add '22' to each side of the equation. -22 + 22 + -18n = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -18n = 0 + 22 -18n = 0 + 22 Combine like terms: 0 + 22 = 22 -18n = 22 Divide each side by '-18'. n = -1.222222222 Simplifying n = -1.222222222
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