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Simplifying -5(3n + -8) = 40 + -6n Reorder the terms: -5(-8 + 3n) = 40 + -6n (-8 * -5 + 3n * -5) = 40 + -6n (40 + -15n) = 40 + -6n Add '-40' to each side of the equation. 40 + -40 + -15n = 40 + -40 + -6n Combine like terms: 40 + -40 = 0 0 + -15n = 40 + -40 + -6n -15n = 40 + -40 + -6n Combine like terms: 40 + -40 = 0 -15n = 0 + -6n -15n = -6n Solving -15n = -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -15n + 6n = -6n + 6n Combine like terms: -15n + 6n = -9n -9n = -6n + 6n Combine like terms: -6n + 6n = 0 -9n = 0 Divide each side by '-9'. n = 0 Simplifying n = 0
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