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Simplifying 147 = 5 + 8(8n + 5) Reorder the terms: 147 = 5 + 8(5 + 8n) 147 = 5 + (5 * 8 + 8n * 8) 147 = 5 + (40 + 64n) Combine like terms: 5 + 40 = 45 147 = 45 + 64n Solving 147 = 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. 147 + -64n = 45 + 64n + -64n Combine like terms: 64n + -64n = 0 147 + -64n = 45 + 0 147 + -64n = 45 Add '-147' to each side of the equation. 147 + -147 + -64n = 45 + -147 Combine like terms: 147 + -147 = 0 0 + -64n = 45 + -147 -64n = 45 + -147 Combine like terms: 45 + -147 = -102 -64n = -102 Divide each side by '-64'. n = 1.59375 Simplifying n = 1.59375
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