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Simplifying 5(n + -4) + -1(7 + -1n) = 0 Reorder the terms: 5(-4 + n) + -1(7 + -1n) = 0 (-4 * 5 + n * 5) + -1(7 + -1n) = 0 (-20 + 5n) + -1(7 + -1n) = 0 -20 + 5n + (7 * -1 + -1n * -1) = 0 -20 + 5n + (-7 + 1n) = 0 Reorder the terms: -20 + -7 + 5n + 1n = 0 Combine like terms: -20 + -7 = -27 -27 + 5n + 1n = 0 Combine like terms: 5n + 1n = 6n -27 + 6n = 0 Solving -27 + 6n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 6n = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 6n = 0 + 27 6n = 0 + 27 Combine like terms: 0 + 27 = 27 6n = 27 Divide each side by '6'. n = 4.5 Simplifying n = 4.5
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