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Simplifying -3n + 4n = 4n + 2 + -5n + -14 Combine like terms: -3n + 4n = 1n 1n = 4n + 2 + -5n + -14 Reorder the terms: 1n = 2 + -14 + 4n + -5n Combine like terms: 2 + -14 = -12 1n = -12 + 4n + -5n Combine like terms: 4n + -5n = -1n 1n = -12 + -1n Solving 1n = -12 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 1n + n = -12 + -1n + n Combine like terms: 1n + n = 2n 2n = -12 + -1n + n Combine like terms: -1n + n = 0 2n = -12 + 0 2n = -12 Divide each side by '2'. n = -6 Simplifying n = -6
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