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Simplifying n + -1(8 + 4n) = 2(3n + 4) n + (8 * -1 + 4n * -1) = 2(3n + 4) n + (-8 + -4n) = 2(3n + 4) Reorder the terms: -8 + n + -4n = 2(3n + 4) Combine like terms: n + -4n = -3n -8 + -3n = 2(3n + 4) Reorder the terms: -8 + -3n = 2(4 + 3n) -8 + -3n = (4 * 2 + 3n * 2) -8 + -3n = (8 + 6n) Solving -8 + -3n = 8 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -8 + -3n + -6n = 8 + 6n + -6n Combine like terms: -3n + -6n = -9n -8 + -9n = 8 + 6n + -6n Combine like terms: 6n + -6n = 0 -8 + -9n = 8 + 0 -8 + -9n = 8 Add '8' to each side of the equation. -8 + 8 + -9n = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -9n = 8 + 8 -9n = 8 + 8 Combine like terms: 8 + 8 = 16 -9n = 16 Divide each side by '-9'. n = -1.777777778 Simplifying n = -1.777777778
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