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Simplifying 2(n + 6) = 7 + -11 + -6n Reorder the terms: 2(6 + n) = 7 + -11 + -6n (6 * 2 + n * 2) = 7 + -11 + -6n (12 + 2n) = 7 + -11 + -6n Combine like terms: 7 + -11 = -4 12 + 2n = -4 + -6n Solving 12 + 2n = -4 + -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. 12 + 2n + 6n = -4 + -6n + 6n Combine like terms: 2n + 6n = 8n 12 + 8n = -4 + -6n + 6n Combine like terms: -6n + 6n = 0 12 + 8n = -4 + 0 12 + 8n = -4 Add '-12' to each side of the equation. 12 + -12 + 8n = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 8n = -4 + -12 8n = -4 + -12 Combine like terms: -4 + -12 = -16 8n = -16 Divide each side by '8'. n = -2 Simplifying n = -2
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