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Simplifying 6 + -1(4n + -3) = 9 + -5n Reorder the terms: 6 + -1(-3 + 4n) = 9 + -5n 6 + (-3 * -1 + 4n * -1) = 9 + -5n 6 + (3 + -4n) = 9 + -5n Combine like terms: 6 + 3 = 9 9 + -4n = 9 + -5n Add '-9' to each side of the equation. 9 + -9 + -4n = 9 + -9 + -5n Combine like terms: 9 + -9 = 0 0 + -4n = 9 + -9 + -5n -4n = 9 + -9 + -5n Combine like terms: 9 + -9 = 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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