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Simplifying 5n + -40 = (4n + 1) Reorder the terms: -40 + 5n = (4n + 1) Reorder the terms: -40 + 5n = (1 + 4n) Remove parenthesis around (1 + 4n) -40 + 5n = 1 + 4n Solving -40 + 5n = 1 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -40 + 5n + -4n = 1 + 4n + -4n Combine like terms: 5n + -4n = 1n -40 + 1n = 1 + 4n + -4n Combine like terms: 4n + -4n = 0 -40 + 1n = 1 + 0 -40 + 1n = 1 Add '40' to each side of the equation. -40 + 40 + 1n = 1 + 40 Combine like terms: -40 + 40 = 0 0 + 1n = 1 + 40 1n = 1 + 40 Combine like terms: 1 + 40 = 41 1n = 41 Divide each side by '1'. n = 41 Simplifying n = 41
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