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Simplifying 3n + 4 + -1n = -8 + -2n Reorder the terms: 4 + 3n + -1n = -8 + -2n Combine like terms: 3n + -1n = 2n 4 + 2n = -8 + -2n Solving 4 + 2n = -8 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 4 + 2n + 2n = -8 + -2n + 2n Combine like terms: 2n + 2n = 4n 4 + 4n = -8 + -2n + 2n Combine like terms: -2n + 2n = 0 4 + 4n = -8 + 0 4 + 4n = -8 Add '-4' to each side of the equation. 4 + -4 + 4n = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 4n = -8 + -4 4n = -8 + -4 Combine like terms: -8 + -4 = -12 4n = -12 Divide each side by '4'. n = -3 Simplifying n = -3
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