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Simplifying 5(n + -1) = 4(n + 1) Reorder the terms: 5(-1 + n) = 4(n + 1) (-1 * 5 + n * 5) = 4(n + 1) (-5 + 5n) = 4(n + 1) Reorder the terms: -5 + 5n = 4(1 + n) -5 + 5n = (1 * 4 + n * 4) -5 + 5n = (4 + 4n) Solving -5 + 5n = 4 + 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. -5 + 5n + -4n = 4 + 4n + -4n Combine like terms: 5n + -4n = 1n -5 + 1n = 4 + 4n + -4n Combine like terms: 4n + -4n = 0 -5 + 1n = 4 + 0 -5 + 1n = 4 Add '5' to each side of the equation. -5 + 5 + 1n = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 1n = 4 + 5 1n = 4 + 5 Combine like terms: 4 + 5 = 9 1n = 9 Divide each side by '1'. n = 9 Simplifying n = 9
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