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Simplifying 8 + -1(3n + -4) = 1 + -4n Reorder the terms: 8 + -1(-4 + 3n) = 1 + -4n 8 + (-4 * -1 + 3n * -1) = 1 + -4n 8 + (4 + -3n) = 1 + -4n Combine like terms: 8 + 4 = 12 12 + -3n = 1 + -4n Solving 12 + -3n = 1 + -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. 12 + -3n + 4n = 1 + -4n + 4n Combine like terms: -3n + 4n = 1n 12 + 1n = 1 + -4n + 4n Combine like terms: -4n + 4n = 0 12 + 1n = 1 + 0 12 + 1n = 1 Add '-12' to each side of the equation. 12 + -12 + 1n = 1 + -12 Combine like terms: 12 + -12 = 0 0 + 1n = 1 + -12 1n = 1 + -12 Combine like terms: 1 + -12 = -11 1n = -11 Divide each side by '1'. n = -11 Simplifying n = -11
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