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Simplifying 8 + -1(4n + -1) = 4 + -5n Reorder the terms: 8 + -1(-1 + 4n) = 4 + -5n 8 + (-1 * -1 + 4n * -1) = 4 + -5n 8 + (1 + -4n) = 4 + -5n Combine like terms: 8 + 1 = 9 9 + -4n = 4 + -5n Solving 9 + -4n = 4 + -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. 9 + -4n + 5n = 4 + -5n + 5n Combine like terms: -4n + 5n = 1n 9 + 1n = 4 + -5n + 5n Combine like terms: -5n + 5n = 0 9 + 1n = 4 + 0 9 + 1n = 4 Add '-9' to each side of the equation. 9 + -9 + 1n = 4 + -9 Combine like terms: 9 + -9 = 0 0 + 1n = 4 + -9 1n = 4 + -9 Combine like terms: 4 + -9 = -5 1n = -5 Divide each side by '1'. n = -5 Simplifying n = -5
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