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Simplifying -40 + -6n = -3(n + 5) + -8n Reorder the terms: -40 + -6n = -3(5 + n) + -8n -40 + -6n = (5 * -3 + n * -3) + -8n -40 + -6n = (-15 + -3n) + -8n Combine like terms: -3n + -8n = -11n -40 + -6n = -15 + -11n Solving -40 + -6n = -15 + -11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '11n' to each side of the equation. -40 + -6n + 11n = -15 + -11n + 11n Combine like terms: -6n + 11n = 5n -40 + 5n = -15 + -11n + 11n Combine like terms: -11n + 11n = 0 -40 + 5n = -15 + 0 -40 + 5n = -15 Add '40' to each side of the equation. -40 + 40 + 5n = -15 + 40 Combine like terms: -40 + 40 = 0 0 + 5n = -15 + 40 5n = -15 + 40 Combine like terms: -15 + 40 = 25 5n = 25 Divide each side by '5'. n = 5 Simplifying n = 5
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