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Simplifying 7n + -1(9 + -4n) = 3(n + -11) 7n + (9 * -1 + -4n * -1) = 3(n + -11) 7n + (-9 + 4n) = 3(n + -11) Reorder the terms: -9 + 7n + 4n = 3(n + -11) Combine like terms: 7n + 4n = 11n -9 + 11n = 3(n + -11) Reorder the terms: -9 + 11n = 3(-11 + n) -9 + 11n = (-11 * 3 + n * 3) -9 + 11n = (-33 + 3n) Solving -9 + 11n = -33 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -9 + 11n + -3n = -33 + 3n + -3n Combine like terms: 11n + -3n = 8n -9 + 8n = -33 + 3n + -3n Combine like terms: 3n + -3n = 0 -9 + 8n = -33 + 0 -9 + 8n = -33 Add '9' to each side of the equation. -9 + 9 + 8n = -33 + 9 Combine like terms: -9 + 9 = 0 0 + 8n = -33 + 9 8n = -33 + 9 Combine like terms: -33 + 9 = -24 8n = -24 Divide each side by '8'. n = -3 Simplifying n = -3
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