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Simplifying (n + 6) * 2 = n + 10 Reorder the terms: (6 + n) * 2 = n + 10 Reorder the terms for easier multiplication: 2(6 + n) = n + 10 (6 * 2 + n * 2) = n + 10 (12 + 2n) = n + 10 Reorder the terms: 12 + 2n = 10 + n Solving 12 + 2n = 10 + 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. 12 + 2n + -1n = 10 + n + -1n Combine like terms: 2n + -1n = 1n 12 + 1n = 10 + n + -1n Combine like terms: n + -1n = 0 12 + 1n = 10 + 0 12 + 1n = 10 Add '-12' to each side of the equation. 12 + -12 + 1n = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 1n = 10 + -12 1n = 10 + -12 Combine like terms: 10 + -12 = -2 1n = -2 Divide each side by '1'. n = -2 Simplifying n = -2
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