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Simplifying 4n + -2n = -3(8 + n) + 8(3n + 3) Combine like terms: 4n + -2n = 2n 2n = -3(8 + n) + 8(3n + 3) 2n = (8 * -3 + n * -3) + 8(3n + 3) 2n = (-24 + -3n) + 8(3n + 3) Reorder the terms: 2n = -24 + -3n + 8(3 + 3n) 2n = -24 + -3n + (3 * 8 + 3n * 8) 2n = -24 + -3n + (24 + 24n) Reorder the terms: 2n = -24 + 24 + -3n + 24n Combine like terms: -24 + 24 = 0 2n = 0 + -3n + 24n 2n = -3n + 24n Combine like terms: -3n + 24n = 21n 2n = 21n Solving 2n = 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. 2n + -21n = 21n + -21n Combine like terms: 2n + -21n = -19n -19n = 21n + -21n Combine like terms: 21n + -21n = 0 -19n = 0 Divide each side by '-19'. n = 0 Simplifying n = 0
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