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Simplifying 7 + -1(4n + -1) = 8 + -5n Reorder the terms: 7 + -1(-1 + 4n) = 8 + -5n 7 + (-1 * -1 + 4n * -1) = 8 + -5n 7 + (1 + -4n) = 8 + -5n Combine like terms: 7 + 1 = 8 8 + -4n = 8 + -5n Add '-8' to each side of the equation. 8 + -8 + -4n = 8 + -8 + -5n Combine like terms: 8 + -8 = 0 0 + -4n = 8 + -8 + -5n -4n = 8 + -8 + -5n Combine like terms: 8 + -8 = 0 -4n = 0 + -5n -4n = -5n Solving -4n = -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. -4n + 5n = -5n + 5n Combine like terms: -4n + 5n = 1n 1n = -5n + 5n Combine like terms: -5n + 5n = 0 1n = 0 Divide each side by '1'. n = 0 Simplifying n = 0
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