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Simplifying 7n + -1(5n + -4) = 0 Reorder the terms: 7n + -1(-4 + 5n) = 0 7n + (-4 * -1 + 5n * -1) = 0 7n + (4 + -5n) = 0 Reorder the terms: 4 + 7n + -5n = 0 Combine like terms: 7n + -5n = 2n 4 + 2n = 0 Solving 4 + 2n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 2n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2n = 0 + -4 2n = 0 + -4 Combine like terms: 0 + -4 = -4 2n = -4 Divide each side by '2'. n = -2 Simplifying n = -2
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