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Simplifying -533 = -8(8n + 8) + -3n Reorder the terms: -533 = -8(8 + 8n) + -3n -533 = (8 * -8 + 8n * -8) + -3n -533 = (-64 + -64n) + -3n Combine like terms: -64n + -3n = -67n -533 = -64 + -67n Solving -533 = -64 + -67n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '67n' to each side of the equation. -533 + 67n = -64 + -67n + 67n Combine like terms: -67n + 67n = 0 -533 + 67n = -64 + 0 -533 + 67n = -64 Add '533' to each side of the equation. -533 + 533 + 67n = -64 + 533 Combine like terms: -533 + 533 = 0 0 + 67n = -64 + 533 67n = -64 + 533 Combine like terms: -64 + 533 = 469 67n = 469 Divide each side by '67'. n = 7 Simplifying n = 7
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