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Simplifying 322 = 5(1 + -8n) + -3 322 = (1 * 5 + -8n * 5) + -3 322 = (5 + -40n) + -3 Reorder the terms: 322 = 5 + -3 + -40n Combine like terms: 5 + -3 = 2 322 = 2 + -40n Solving 322 = 2 + -40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40n' to each side of the equation. 322 + 40n = 2 + -40n + 40n Combine like terms: -40n + 40n = 0 322 + 40n = 2 + 0 322 + 40n = 2 Add '-322' to each side of the equation. 322 + -322 + 40n = 2 + -322 Combine like terms: 322 + -322 = 0 0 + 40n = 2 + -322 40n = 2 + -322 Combine like terms: 2 + -322 = -320 40n = -320 Divide each side by '40'. n = -8 Simplifying n = -8
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