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Simplifying -5(n + -4) = n + -40 Reorder the terms: -5(-4 + n) = n + -40 (-4 * -5 + n * -5) = n + -40 (20 + -5n) = n + -40 Reorder the terms: 20 + -5n = -40 + n Solving 20 + -5n = -40 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 20 + -5n + -1n = -40 + n + -1n Combine like terms: -5n + -1n = -6n 20 + -6n = -40 + n + -1n Combine like terms: n + -1n = 0 20 + -6n = -40 + 0 20 + -6n = -40 Add '-20' to each side of the equation. 20 + -20 + -6n = -40 + -20 Combine like terms: 20 + -20 = 0 0 + -6n = -40 + -20 -6n = -40 + -20 Combine like terms: -40 + -20 = -60 -6n = -60 Divide each side by '-6'. n = 10 Simplifying n = 10
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