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Simplifying 6 + -1[3n + -8] = 5 + -4n Reorder the terms: 6 + -1[-8 + 3n] = 5 + -4n 6 + [-8 * -1 + 3n * -1] = 5 + -4n 6 + [8 + -3n] = 5 + -4n Combine like terms: 6 + 8 = 14 14 + -3n = 5 + -4n Solving 14 + -3n = 5 + -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. 14 + -3n + 4n = 5 + -4n + 4n Combine like terms: -3n + 4n = 1n 14 + 1n = 5 + -4n + 4n Combine like terms: -4n + 4n = 0 14 + 1n = 5 + 0 14 + 1n = 5 Add '-14' to each side of the equation. 14 + -14 + 1n = 5 + -14 Combine like terms: 14 + -14 = 0 0 + 1n = 5 + -14 1n = 5 + -14 Combine like terms: 5 + -14 = -9 1n = -9 Divide each side by '1'. n = -9 Simplifying n = -9
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