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Simplifying 10 + -1(4n + -5) = 9 + -5n Reorder the terms: 10 + -1(-5 + 4n) = 9 + -5n 10 + (-5 * -1 + 4n * -1) = 9 + -5n 10 + (5 + -4n) = 9 + -5n Combine like terms: 10 + 5 = 15 15 + -4n = 9 + -5n Solving 15 + -4n = 9 + -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. 15 + -4n + 5n = 9 + -5n + 5n Combine like terms: -4n + 5n = 1n 15 + 1n = 9 + -5n + 5n Combine like terms: -5n + 5n = 0 15 + 1n = 9 + 0 15 + 1n = 9 Add '-15' to each side of the equation. 15 + -15 + 1n = 9 + -15 Combine like terms: 15 + -15 = 0 0 + 1n = 9 + -15 1n = 9 + -15 Combine like terms: 9 + -15 = -6 1n = -6 Divide each side by '1'. n = -6 Simplifying n = -6
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