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Simplifying -7(-4 + -6n) = -40 + 8n (-4 * -7 + -6n * -7) = -40 + 8n (28 + 42n) = -40 + 8n Solving 28 + 42n = -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. 28 + 42n + -8n = -40 + 8n + -8n Combine like terms: 42n + -8n = 34n 28 + 34n = -40 + 8n + -8n Combine like terms: 8n + -8n = 0 28 + 34n = -40 + 0 28 + 34n = -40 Add '-28' to each side of the equation. 28 + -28 + 34n = -40 + -28 Combine like terms: 28 + -28 = 0 0 + 34n = -40 + -28 34n = -40 + -28 Combine like terms: -40 + -28 = -68 34n = -68 Divide each side by '34'. n = -2 Simplifying n = -2
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