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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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