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Simplifying 5(n + -1) = 4(n + 4) Reorder the terms: 5(-1 + n) = 4(n + 4) (-1 * 5 + n * 5) = 4(n + 4) (-5 + 5n) = 4(n + 4) Reorder the terms: -5 + 5n = 4(4 + n) -5 + 5n = (4 * 4 + n * 4) -5 + 5n = (16 + 4n) Solving -5 + 5n = 16 + 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 = 16 + 4n + -4n Combine like terms: 5n + -4n = 1n -5 + 1n = 16 + 4n + -4n Combine like terms: 4n + -4n = 0 -5 + 1n = 16 + 0 -5 + 1n = 16 Add '5' to each side of the equation. -5 + 5 + 1n = 16 + 5 Combine like terms: -5 + 5 = 0 0 + 1n = 16 + 5 1n = 16 + 5 Combine like terms: 16 + 5 = 21 1n = 21 Divide each side by '1'. n = 21 Simplifying n = 21
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