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Simplifying -4 + 5n = 1 + 5(8 + -8n) -4 + 5n = 1 + (8 * 5 + -8n * 5) -4 + 5n = 1 + (40 + -40n) Combine like terms: 1 + 40 = 41 -4 + 5n = 41 + -40n Solving -4 + 5n = 41 + -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. -4 + 5n + 40n = 41 + -40n + 40n Combine like terms: 5n + 40n = 45n -4 + 45n = 41 + -40n + 40n Combine like terms: -40n + 40n = 0 -4 + 45n = 41 + 0 -4 + 45n = 41 Add '4' to each side of the equation. -4 + 4 + 45n = 41 + 4 Combine like terms: -4 + 4 = 0 0 + 45n = 41 + 4 45n = 41 + 4 Combine like terms: 41 + 4 = 45 45n = 45 Divide each side by '45'. n = 1 Simplifying n = 1
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