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