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Simplifying -1(5n + -1) = -5n + -1(n + -4) Reorder the terms: -1(-1 + 5n) = -5n + -1(n + -4) (-1 * -1 + 5n * -1) = -5n + -1(n + -4) (1 + -5n) = -5n + -1(n + -4) Reorder the terms: 1 + -5n = -5n + -1(-4 + n) 1 + -5n = -5n + (-4 * -1 + n * -1) 1 + -5n = -5n + (4 + -1n) Reorder the terms: 1 + -5n = 4 + -5n + -1n Combine like terms: -5n + -1n = -6n 1 + -5n = 4 + -6n Solving 1 + -5n = 4 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 1 + -5n + 6n = 4 + -6n + 6n Combine like terms: -5n + 6n = 1n 1 + 1n = 4 + -6n + 6n Combine like terms: -6n + 6n = 0 1 + 1n = 4 + 0 1 + 1n = 4 Add '-1' to each side of the equation. 1 + -1 + 1n = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 1n = 4 + -1 1n = 4 + -1 Combine like terms: 4 + -1 = 3 1n = 3 Divide each side by '1'. n = 3 Simplifying n = 3
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