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Simplifying 6 + -1(4n + 5) = 1 + -5n Reorder the terms: 6 + -1(5 + 4n) = 1 + -5n 6 + (5 * -1 + 4n * -1) = 1 + -5n 6 + (-5 + -4n) = 1 + -5n Combine like terms: 6 + -5 = 1 1 + -4n = 1 + -5n Add '-1' to each side of the equation. 1 + -1 + -4n = 1 + -1 + -5n Combine like terms: 1 + -1 = 0 0 + -4n = 1 + -1 + -5n -4n = 1 + -1 + -5n Combine like terms: 1 + -1 = 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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