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Simplifying 6 + -1(3n + -9) = 6 + -4n Reorder the terms: 6 + -1(-9 + 3n) = 6 + -4n 6 + (-9 * -1 + 3n * -1) = 6 + -4n 6 + (9 + -3n) = 6 + -4n Combine like terms: 6 + 9 = 15 15 + -3n = 6 + -4n Solving 15 + -3n = 6 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 15 + -3n + 4n = 6 + -4n + 4n Combine like terms: -3n + 4n = 1n 15 + 1n = 6 + -4n + 4n Combine like terms: -4n + 4n = 0 15 + 1n = 6 + 0 15 + 1n = 6 Add '-15' to each side of the equation. 15 + -15 + 1n = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 1n = 6 + -15 1n = 6 + -15 Combine like terms: 6 + -15 = -9 1n = -9 Divide each side by '1'. n = -9 Simplifying n = -9
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