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Simplifying -11(n + 11) + -1(8n + 11) = -3n + -5n Reorder the terms: -11(11 + n) + -1(8n + 11) = -3n + -5n (11 * -11 + n * -11) + -1(8n + 11) = -3n + -5n (-121 + -11n) + -1(8n + 11) = -3n + -5n Reorder the terms: -121 + -11n + -1(11 + 8n) = -3n + -5n -121 + -11n + (11 * -1 + 8n * -1) = -3n + -5n -121 + -11n + (-11 + -8n) = -3n + -5n Reorder the terms: -121 + -11 + -11n + -8n = -3n + -5n Combine like terms: -121 + -11 = -132 -132 + -11n + -8n = -3n + -5n Combine like terms: -11n + -8n = -19n -132 + -19n = -3n + -5n Combine like terms: -3n + -5n = -8n -132 + -19n = -8n Solving -132 + -19n = -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. -132 + -19n + 8n = -8n + 8n Combine like terms: -19n + 8n = -11n -132 + -11n = -8n + 8n Combine like terms: -8n + 8n = 0 -132 + -11n = 0 Add '132' to each side of the equation. -132 + 132 + -11n = 0 + 132 Combine like terms: -132 + 132 = 0 0 + -11n = 0 + 132 -11n = 0 + 132 Combine like terms: 0 + 132 = 132 -11n = 132 Divide each side by '-11'. n = -12 Simplifying n = -12
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