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