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Simplifying -6n + -4(1 + 2n) = -5(5n + -8) -6n + (1 * -4 + 2n * -4) = -5(5n + -8) -6n + (-4 + -8n) = -5(5n + -8) Reorder the terms: -4 + -6n + -8n = -5(5n + -8) Combine like terms: -6n + -8n = -14n -4 + -14n = -5(5n + -8) Reorder the terms: -4 + -14n = -5(-8 + 5n) -4 + -14n = (-8 * -5 + 5n * -5) -4 + -14n = (40 + -25n) Solving -4 + -14n = 40 + -25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '25n' to each side of the equation. -4 + -14n + 25n = 40 + -25n + 25n Combine like terms: -14n + 25n = 11n -4 + 11n = 40 + -25n + 25n Combine like terms: -25n + 25n = 0 -4 + 11n = 40 + 0 -4 + 11n = 40 Add '4' to each side of the equation. -4 + 4 + 11n = 40 + 4 Combine like terms: -4 + 4 = 0 0 + 11n = 40 + 4 11n = 40 + 4 Combine like terms: 40 + 4 = 44 11n = 44 Divide each side by '11'. n = 4 Simplifying n = 4
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