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Simplifying 2(n + 4) = n + 12 Reorder the terms: 2(4 + n) = n + 12 (4 * 2 + n * 2) = n + 12 (8 + 2n) = n + 12 Reorder the terms: 8 + 2n = 12 + n Solving 8 + 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. 8 + 2n + -1n = 12 + n + -1n Combine like terms: 2n + -1n = 1n 8 + 1n = 12 + n + -1n Combine like terms: n + -1n = 0 8 + 1n = 12 + 0 8 + 1n = 12 Add '-8' to each side of the equation. 8 + -8 + 1n = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 1n = 12 + -8 1n = 12 + -8 Combine like terms: 12 + -8 = 4 1n = 4 Divide each side by '1'. n = 4 Simplifying n = 4
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