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Simplifying -8(n + -4) = n + -40 Reorder the terms: -8(-4 + n) = n + -40 (-4 * -8 + n * -8) = n + -40 (32 + -8n) = n + -40 Reorder the terms: 32 + -8n = -40 + n Solving 32 + -8n = -40 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 32 + -8n + -1n = -40 + n + -1n Combine like terms: -8n + -1n = -9n 32 + -9n = -40 + n + -1n Combine like terms: n + -1n = 0 32 + -9n = -40 + 0 32 + -9n = -40 Add '-32' to each side of the equation. 32 + -32 + -9n = -40 + -32 Combine like terms: 32 + -32 = 0 0 + -9n = -40 + -32 -9n = -40 + -32 Combine like terms: -40 + -32 = -72 -9n = -72 Divide each side by '-9'. n = 8 Simplifying n = 8
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