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Simplifying 429 = -8(-5 + -8n) + 5 429 = (-5 * -8 + -8n * -8) + 5 429 = (40 + 64n) + 5 Reorder the terms: 429 = 40 + 5 + 64n Combine like terms: 40 + 5 = 45 429 = 45 + 64n Solving 429 = 45 + 64n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-64n' to each side of the equation. 429 + -64n = 45 + 64n + -64n Combine like terms: 64n + -64n = 0 429 + -64n = 45 + 0 429 + -64n = 45 Add '-429' to each side of the equation. 429 + -429 + -64n = 45 + -429 Combine like terms: 429 + -429 = 0 0 + -64n = 45 + -429 -64n = 45 + -429 Combine like terms: 45 + -429 = -384 -64n = -384 Divide each side by '-64'. n = 6 Simplifying n = 6
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