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Simplifying (11n + -5) + -1(3n + -2) = -19 Reorder the terms: (-5 + 11n) + -1(3n + -2) = -19 Remove parenthesis around (-5 + 11n) -5 + 11n + -1(3n + -2) = -19 Reorder the terms: -5 + 11n + -1(-2 + 3n) = -19 -5 + 11n + (-2 * -1 + 3n * -1) = -19 -5 + 11n + (2 + -3n) = -19 Reorder the terms: -5 + 2 + 11n + -3n = -19 Combine like terms: -5 + 2 = -3 -3 + 11n + -3n = -19 Combine like terms: 11n + -3n = 8n -3 + 8n = -19 Solving -3 + 8n = -19 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 8n = -19 + 3 Combine like terms: -3 + 3 = 0 0 + 8n = -19 + 3 8n = -19 + 3 Combine like terms: -19 + 3 = -16 8n = -16 Divide each side by '8'. n = -2 Simplifying n = -2
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