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Simplifying -8(5n + 7) = 40 + -8n Reorder the terms: -8(7 + 5n) = 40 + -8n (7 * -8 + 5n * -8) = 40 + -8n (-56 + -40n) = 40 + -8n Solving -56 + -40n = 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. -56 + -40n + 8n = 40 + -8n + 8n Combine like terms: -40n + 8n = -32n -56 + -32n = 40 + -8n + 8n Combine like terms: -8n + 8n = 0 -56 + -32n = 40 + 0 -56 + -32n = 40 Add '56' to each side of the equation. -56 + 56 + -32n = 40 + 56 Combine like terms: -56 + 56 = 0 0 + -32n = 40 + 56 -32n = 40 + 56 Combine like terms: 40 + 56 = 96 -32n = 96 Divide each side by '-32'. n = -3 Simplifying n = -3
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