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