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Simplifying 2(n + -7) + 6n = 6(n + 2) Reorder the terms: 2(-7 + n) + 6n = 6(n + 2) (-7 * 2 + n * 2) + 6n = 6(n + 2) (-14 + 2n) + 6n = 6(n + 2) Combine like terms: 2n + 6n = 8n -14 + 8n = 6(n + 2) Reorder the terms: -14 + 8n = 6(2 + n) -14 + 8n = (2 * 6 + n * 6) -14 + 8n = (12 + 6n) Solving -14 + 8n = 12 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -14 + 8n + -6n = 12 + 6n + -6n Combine like terms: 8n + -6n = 2n -14 + 2n = 12 + 6n + -6n Combine like terms: 6n + -6n = 0 -14 + 2n = 12 + 0 -14 + 2n = 12 Add '14' to each side of the equation. -14 + 14 + 2n = 12 + 14 Combine like terms: -14 + 14 = 0 0 + 2n = 12 + 14 2n = 12 + 14 Combine like terms: 12 + 14 = 26 2n = 26 Divide each side by '2'. n = 13 Simplifying n = 13
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