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Simplifying 7 + 2(5n + 2) = -1(-11 + 4n) + -4n Reorder the terms: 7 + 2(2 + 5n) = -1(-11 + 4n) + -4n 7 + (2 * 2 + 5n * 2) = -1(-11 + 4n) + -4n 7 + (4 + 10n) = -1(-11 + 4n) + -4n Combine like terms: 7 + 4 = 11 11 + 10n = -1(-11 + 4n) + -4n 11 + 10n = (-11 * -1 + 4n * -1) + -4n 11 + 10n = (11 + -4n) + -4n Combine like terms: -4n + -4n = -8n 11 + 10n = 11 + -8n Add '-11' to each side of the equation. 11 + -11 + 10n = 11 + -11 + -8n Combine like terms: 11 + -11 = 0 0 + 10n = 11 + -11 + -8n 10n = 11 + -11 + -8n Combine like terms: 11 + -11 = 0 10n = 0 + -8n 10n = -8n Solving 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. 10n + 8n = -8n + 8n Combine like terms: 10n + 8n = 18n 18n = -8n + 8n Combine like terms: -8n + 8n = 0 18n = 0 Divide each side by '18'. n = 0 Simplifying n = 0
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