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Simplifying 8n + 8(1 + -2n) = 40 + -4n 8n + (1 * 8 + -2n * 8) = 40 + -4n 8n + (8 + -16n) = 40 + -4n Reorder the terms: 8 + 8n + -16n = 40 + -4n Combine like terms: 8n + -16n = -8n 8 + -8n = 40 + -4n Solving 8 + -8n = 40 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 8 + -8n + 4n = 40 + -4n + 4n Combine like terms: -8n + 4n = -4n 8 + -4n = 40 + -4n + 4n Combine like terms: -4n + 4n = 0 8 + -4n = 40 + 0 8 + -4n = 40 Add '-8' to each side of the equation. 8 + -8 + -4n = 40 + -8 Combine like terms: 8 + -8 = 0 0 + -4n = 40 + -8 -4n = 40 + -8 Combine like terms: 40 + -8 = 32 -4n = 32 Divide each side by '-4'. n = -8 Simplifying n = -8
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