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Simplifying 8 + -1(3n + -2) = 4 + -4n Reorder the terms: 8 + -1(-2 + 3n) = 4 + -4n 8 + (-2 * -1 + 3n * -1) = 4 + -4n 8 + (2 + -3n) = 4 + -4n Combine like terms: 8 + 2 = 10 10 + -3n = 4 + -4n Solving 10 + -3n = 4 + -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. 10 + -3n + 4n = 4 + -4n + 4n Combine like terms: -3n + 4n = 1n 10 + 1n = 4 + -4n + 4n Combine like terms: -4n + 4n = 0 10 + 1n = 4 + 0 10 + 1n = 4 Add '-10' to each side of the equation. 10 + -10 + 1n = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 1n = 4 + -10 1n = 4 + -10 Combine like terms: 4 + -10 = -6 1n = -6 Divide each side by '1'. n = -6 Simplifying n = -6
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