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Simplifying 4(n + -9) + -1(3 + -1n) = 0 Reorder the terms: 4(-9 + n) + -1(3 + -1n) = 0 (-9 * 4 + n * 4) + -1(3 + -1n) = 0 (-36 + 4n) + -1(3 + -1n) = 0 -36 + 4n + (3 * -1 + -1n * -1) = 0 -36 + 4n + (-3 + 1n) = 0 Reorder the terms: -36 + -3 + 4n + 1n = 0 Combine like terms: -36 + -3 = -39 -39 + 4n + 1n = 0 Combine like terms: 4n + 1n = 5n -39 + 5n = 0 Solving -39 + 5n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 5n = 0 + 39 Combine like terms: -39 + 39 = 0 0 + 5n = 0 + 39 5n = 0 + 39 Combine like terms: 0 + 39 = 39 5n = 39 Divide each side by '5'. n = 7.8 Simplifying n = 7.8
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