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Simplifying 6n + 26 = -2(n + 7) Reorder the terms: 26 + 6n = -2(n + 7) Reorder the terms: 26 + 6n = -2(7 + n) 26 + 6n = (7 * -2 + n * -2) 26 + 6n = (-14 + -2n) Solving 26 + 6n = -14 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 26 + 6n + 2n = -14 + -2n + 2n Combine like terms: 6n + 2n = 8n 26 + 8n = -14 + -2n + 2n Combine like terms: -2n + 2n = 0 26 + 8n = -14 + 0 26 + 8n = -14 Add '-26' to each side of the equation. 26 + -26 + 8n = -14 + -26 Combine like terms: 26 + -26 = 0 0 + 8n = -14 + -26 8n = -14 + -26 Combine like terms: -14 + -26 = -40 8n = -40 Divide each side by '8'. n = -5 Simplifying n = -5
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