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Simplifying 8(1 + -4n) = -5n + 8 (1 * 8 + -4n * 8) = -5n + 8 (8 + -32n) = -5n + 8 Reorder the terms: 8 + -32n = 8 + -5n Add '-8' to each side of the equation. 8 + -8 + -32n = 8 + -8 + -5n Combine like terms: 8 + -8 = 0 0 + -32n = 8 + -8 + -5n -32n = 8 + -8 + -5n Combine like terms: 8 + -8 = 0 -32n = 0 + -5n -32n = -5n Solving -32n = -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -32n + 5n = -5n + 5n Combine like terms: -32n + 5n = -27n -27n = -5n + 5n Combine like terms: -5n + 5n = 0 -27n = 0 Divide each side by '-27'. n = 0 Simplifying n = 0
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