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Simplifying -11n + 5(8n + -19) = 7 + 18 + 14n Reorder the terms: -11n + 5(-19 + 8n) = 7 + 18 + 14n -11n + (-19 * 5 + 8n * 5) = 7 + 18 + 14n -11n + (-95 + 40n) = 7 + 18 + 14n Reorder the terms: -95 + -11n + 40n = 7 + 18 + 14n Combine like terms: -11n + 40n = 29n -95 + 29n = 7 + 18 + 14n Combine like terms: 7 + 18 = 25 -95 + 29n = 25 + 14n Solving -95 + 29n = 25 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -95 + 29n + -14n = 25 + 14n + -14n Combine like terms: 29n + -14n = 15n -95 + 15n = 25 + 14n + -14n Combine like terms: 14n + -14n = 0 -95 + 15n = 25 + 0 -95 + 15n = 25 Add '95' to each side of the equation. -95 + 95 + 15n = 25 + 95 Combine like terms: -95 + 95 = 0 0 + 15n = 25 + 95 15n = 25 + 95 Combine like terms: 25 + 95 = 120 15n = 120 Divide each side by '15'. n = 8 Simplifying n = 8
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