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Simplifying 2 + 8 + 3n + -6 = 1 + 2n Reorder the terms: 2 + 8 + -6 + 3n = 1 + 2n Combine like terms: 2 + 8 = 10 10 + -6 + 3n = 1 + 2n Combine like terms: 10 + -6 = 4 4 + 3n = 1 + 2n Solving 4 + 3n = 1 + 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 + 3n + -2n = 1 + 2n + -2n Combine like terms: 3n + -2n = 1n 4 + 1n = 1 + 2n + -2n Combine like terms: 2n + -2n = 0 4 + 1n = 1 + 0 4 + 1n = 1 Add '-4' to each side of the equation. 4 + -4 + 1n = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 1n = 1 + -4 1n = 1 + -4 Combine like terms: 1 + -4 = -3 1n = -3 Divide each side by '1'. n = -3 Simplifying n = -3
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