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