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Simplifying -1(-1n + -8) = 40 + -3n Reorder the terms: -1(-8 + -1n) = 40 + -3n (-8 * -1 + -1n * -1) = 40 + -3n (8 + 1n) = 40 + -3n Solving 8 + 1n = 40 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 8 + 1n + 3n = 40 + -3n + 3n Combine like terms: 1n + 3n = 4n 8 + 4n = 40 + -3n + 3n Combine like terms: -3n + 3n = 0 8 + 4n = 40 + 0 8 + 4n = 40 Add '-8' to each side of the equation. 8 + -8 + 4n = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 4n = 40 + -8 4n = 40 + -8 Combine like terms: 40 + -8 = 32 4n = 32 Divide each side by '4'. n = 8 Simplifying n = 8
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