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Simplifying -4n + -1(34 + -1n) = -3(-2 + -1(-3 + -2n) + 9) -4n + (34 * -1 + -1n * -1) = -3(-2 + -1(-3 + -2n) + 9) -4n + (-34 + 1n) = -3(-2 + -1(-3 + -2n) + 9) Reorder the terms: -34 + -4n + 1n = -3(-2 + -1(-3 + -2n) + 9) Combine like terms: -4n + 1n = -3n -34 + -3n = -3(-2 + -1(-3 + -2n) + 9) -34 + -3n = -3(-2 + (-3 * -1 + -2n * -1) + 9) -34 + -3n = -3(-2 + (3 + 2n) + 9) Reorder the terms: -34 + -3n = -3(-2 + 3 + 9 + 2n) Combine like terms: -2 + 3 = 1 -34 + -3n = -3(1 + 9 + 2n) Combine like terms: 1 + 9 = 10 -34 + -3n = -3(10 + 2n) -34 + -3n = (10 * -3 + 2n * -3) -34 + -3n = (-30 + -6n) Solving -34 + -3n = -30 + -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. -34 + -3n + 6n = -30 + -6n + 6n Combine like terms: -3n + 6n = 3n -34 + 3n = -30 + -6n + 6n Combine like terms: -6n + 6n = 0 -34 + 3n = -30 + 0 -34 + 3n = -30 Add '34' to each side of the equation. -34 + 34 + 3n = -30 + 34 Combine like terms: -34 + 34 = 0 0 + 3n = -30 + 34 3n = -30 + 34 Combine like terms: -30 + 34 = 4 3n = 4 Divide each side by '3'. n = 1.333333333 Simplifying n = 1.333333333
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