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Simplifying 2(n + -1) + 8 = 12 + n Reorder the terms: 2(-1 + n) + 8 = 12 + n (-1 * 2 + n * 2) + 8 = 12 + n (-2 + 2n) + 8 = 12 + n Reorder the terms: -2 + 8 + 2n = 12 + n Combine like terms: -2 + 8 = 6 6 + 2n = 12 + n Solving 6 + 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. 6 + 2n + -1n = 12 + n + -1n Combine like terms: 2n + -1n = 1n 6 + 1n = 12 + n + -1n Combine like terms: n + -1n = 0 6 + 1n = 12 + 0 6 + 1n = 12 Add '-6' to each side of the equation. 6 + -6 + 1n = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 1n = 12 + -6 1n = 12 + -6 Combine like terms: 12 + -6 = 6 1n = 6 Divide each side by '1'. n = 6 Simplifying n = 6
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