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Simplifying (5n + -1) + -1(4n + 7) = 0 Reorder the terms: (-1 + 5n) + -1(4n + 7) = 0 Remove parenthesis around (-1 + 5n) -1 + 5n + -1(4n + 7) = 0 Reorder the terms: -1 + 5n + -1(7 + 4n) = 0 -1 + 5n + (7 * -1 + 4n * -1) = 0 -1 + 5n + (-7 + -4n) = 0 Reorder the terms: -1 + -7 + 5n + -4n = 0 Combine like terms: -1 + -7 = -8 -8 + 5n + -4n = 0 Combine like terms: 5n + -4n = 1n -8 + 1n = 0 Solving -8 + 1n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1n = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 1n = 0 + 8 1n = 0 + 8 Combine like terms: 0 + 8 = 8 1n = 8 Divide each side by '1'. n = 8 Simplifying n = 8
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