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Simplifying n * 5 + 64 = n * 9 + -8 Reorder the terms for easier multiplication: 5n + 64 = n * 9 + -8 Reorder the terms: 64 + 5n = n * 9 + -8 Reorder the terms for easier multiplication: 64 + 5n = 9n + -8 Reorder the terms: 64 + 5n = -8 + 9n Solving 64 + 5n = -8 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 64 + 5n + -9n = -8 + 9n + -9n Combine like terms: 5n + -9n = -4n 64 + -4n = -8 + 9n + -9n Combine like terms: 9n + -9n = 0 64 + -4n = -8 + 0 64 + -4n = -8 Add '-64' to each side of the equation. 64 + -64 + -4n = -8 + -64 Combine like terms: 64 + -64 = 0 0 + -4n = -8 + -64 -4n = -8 + -64 Combine like terms: -8 + -64 = -72 -4n = -72 Divide each side by '-4'. n = 18 Simplifying n = 18
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