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Simplifying -5(n + -8) = -4n + 32 Reorder the terms: -5(-8 + n) = -4n + 32 (-8 * -5 + n * -5) = -4n + 32 (40 + -5n) = -4n + 32 Reorder the terms: 40 + -5n = 32 + -4n Solving 40 + -5n = 32 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 40 + -5n + 4n = 32 + -4n + 4n Combine like terms: -5n + 4n = -1n 40 + -1n = 32 + -4n + 4n Combine like terms: -4n + 4n = 0 40 + -1n = 32 + 0 40 + -1n = 32 Add '-40' to each side of the equation. 40 + -40 + -1n = 32 + -40 Combine like terms: 40 + -40 = 0 0 + -1n = 32 + -40 -1n = 32 + -40 Combine like terms: 32 + -40 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8
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