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Simplifying 401.58 = 9.7(1 + 4n) 401.58 = (1 * 9.7 + 4n * 9.7) 401.58 = (9.7 + 38.8n) Solving 401.58 = 9.7 + 38.8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-38.8n' to each side of the equation. 401.58 + -38.8n = 9.7 + 38.8n + -38.8n Combine like terms: 38.8n + -38.8n = 0.0 401.58 + -38.8n = 9.7 + 0.0 401.58 + -38.8n = 9.7 Add '-401.58' to each side of the equation. 401.58 + -401.58 + -38.8n = 9.7 + -401.58 Combine like terms: 401.58 + -401.58 = 0.00 0.00 + -38.8n = 9.7 + -401.58 -38.8n = 9.7 + -401.58 Combine like terms: 9.7 + -401.58 = -391.88 -38.8n = -391.88 Divide each side by '-38.8'. n = 10.1 Simplifying n = 10.1
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