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Simplifying 5(-8n + 8) = -8n + 8 Reorder the terms: 5(8 + -8n) = -8n + 8 (8 * 5 + -8n * 5) = -8n + 8 (40 + -40n) = -8n + 8 Reorder the terms: 40 + -40n = 8 + -8n Solving 40 + -40n = 8 + -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. 40 + -40n + 8n = 8 + -8n + 8n Combine like terms: -40n + 8n = -32n 40 + -32n = 8 + -8n + 8n Combine like terms: -8n + 8n = 0 40 + -32n = 8 + 0 40 + -32n = 8 Add '-40' to each side of the equation. 40 + -40 + -32n = 8 + -40 Combine like terms: 40 + -40 = 0 0 + -32n = 8 + -40 -32n = 8 + -40 Combine like terms: 8 + -40 = -32 -32n = -32 Divide each side by '-32'. n = 1 Simplifying n = 1
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