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Simplifying -2(7n + -2) = 40 + -8n Reorder the terms: -2(-2 + 7n) = 40 + -8n (-2 * -2 + 7n * -2) = 40 + -8n (4 + -14n) = 40 + -8n Solving 4 + -14n = 40 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 4 + -14n + 8n = 40 + -8n + 8n Combine like terms: -14n + 8n = -6n 4 + -6n = 40 + -8n + 8n Combine like terms: -8n + 8n = 0 4 + -6n = 40 + 0 4 + -6n = 40 Add '-4' to each side of the equation. 4 + -4 + -6n = 40 + -4 Combine like terms: 4 + -4 = 0 0 + -6n = 40 + -4 -6n = 40 + -4 Combine like terms: 40 + -4 = 36 -6n = 36 Divide each side by '-6'. n = -6 Simplifying n = -6
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