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