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Simplifying 4(n + -5) + -1(9 + -1n) = 0 Reorder the terms: 4(-5 + n) + -1(9 + -1n) = 0 (-5 * 4 + n * 4) + -1(9 + -1n) = 0 (-20 + 4n) + -1(9 + -1n) = 0 -20 + 4n + (9 * -1 + -1n * -1) = 0 -20 + 4n + (-9 + 1n) = 0 Reorder the terms: -20 + -9 + 4n + 1n = 0 Combine like terms: -20 + -9 = -29 -29 + 4n + 1n = 0 Combine like terms: 4n + 1n = 5n -29 + 5n = 0 Solving -29 + 5n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 5n = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 5n = 0 + 29 5n = 0 + 29 Combine like terms: 0 + 29 = 29 5n = 29 Divide each side by '5'. n = 5.8 Simplifying n = 5.8
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