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Simplifying -6(n + 7) = -40 + -8n Reorder the terms: -6(7 + n) = -40 + -8n (7 * -6 + n * -6) = -40 + -8n (-42 + -6n) = -40 + -8n Solving -42 + -6n = -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. -42 + -6n + 8n = -40 + -8n + 8n Combine like terms: -6n + 8n = 2n -42 + 2n = -40 + -8n + 8n Combine like terms: -8n + 8n = 0 -42 + 2n = -40 + 0 -42 + 2n = -40 Add '42' to each side of the equation. -42 + 42 + 2n = -40 + 42 Combine like terms: -42 + 42 = 0 0 + 2n = -40 + 42 2n = -40 + 42 Combine like terms: -40 + 42 = 2 2n = 2 Divide each side by '2'. n = 1 Simplifying n = 1
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