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Simplifying 3(n + 8) + 6 = 2n Reorder the terms: 3(8 + n) + 6 = 2n (8 * 3 + n * 3) + 6 = 2n (24 + 3n) + 6 = 2n Reorder the terms: 24 + 6 + 3n = 2n Combine like terms: 24 + 6 = 30 30 + 3n = 2n Solving 30 + 3n = 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. 30 + 3n + -2n = 2n + -2n Combine like terms: 3n + -2n = 1n 30 + 1n = 2n + -2n Combine like terms: 2n + -2n = 0 30 + 1n = 0 Add '-30' to each side of the equation. 30 + -30 + 1n = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 1n = 0 + -30 1n = 0 + -30 Combine like terms: 0 + -30 = -30 1n = -30 Divide each side by '1'. n = -30 Simplifying n = -30
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