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Simplifying 5(n + -1) = 4(n + -5) + -1n Reorder the terms: 5(-1 + n) = 4(n + -5) + -1n (-1 * 5 + n * 5) = 4(n + -5) + -1n (-5 + 5n) = 4(n + -5) + -1n Reorder the terms: -5 + 5n = 4(-5 + n) + -1n -5 + 5n = (-5 * 4 + n * 4) + -1n -5 + 5n = (-20 + 4n) + -1n Combine like terms: 4n + -1n = 3n -5 + 5n = -20 + 3n Solving -5 + 5n = -20 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -5 + 5n + -3n = -20 + 3n + -3n Combine like terms: 5n + -3n = 2n -5 + 2n = -20 + 3n + -3n Combine like terms: 3n + -3n = 0 -5 + 2n = -20 + 0 -5 + 2n = -20 Add '5' to each side of the equation. -5 + 5 + 2n = -20 + 5 Combine like terms: -5 + 5 = 0 0 + 2n = -20 + 5 2n = -20 + 5 Combine like terms: -20 + 5 = -15 2n = -15 Divide each side by '2'. n = -7.5 Simplifying n = -7.5
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