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Simplifying -1(n + 5) + (5n + -3) = 0 Reorder the terms: -1(5 + n) + (5n + -3) = 0 (5 * -1 + n * -1) + (5n + -3) = 0 (-5 + -1n) + (5n + -3) = 0 Reorder the terms: -5 + -1n + (-3 + 5n) = 0 Remove parenthesis around (-3 + 5n) -5 + -1n + -3 + 5n = 0 Reorder the terms: -5 + -3 + -1n + 5n = 0 Combine like terms: -5 + -3 = -8 -8 + -1n + 5n = 0 Combine like terms: -1n + 5n = 4n -8 + 4n = 0 Solving -8 + 4n = 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 + 4n = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4n = 0 + 8 4n = 0 + 8 Combine like terms: 0 + 8 = 8 4n = 8 Divide each side by '4'. n = 2 Simplifying n = 2
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