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Simplifying 3(n + -9) + -1(4 + -1n) = 0 Reorder the terms: 3(-9 + n) + -1(4 + -1n) = 0 (-9 * 3 + n * 3) + -1(4 + -1n) = 0 (-27 + 3n) + -1(4 + -1n) = 0 -27 + 3n + (4 * -1 + -1n * -1) = 0 -27 + 3n + (-4 + 1n) = 0 Reorder the terms: -27 + -4 + 3n + 1n = 0 Combine like terms: -27 + -4 = -31 -31 + 3n + 1n = 0 Combine like terms: 3n + 1n = 4n -31 + 4n = 0 Solving -31 + 4n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 4n = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 4n = 0 + 31 4n = 0 + 31 Combine like terms: 0 + 31 = 31 4n = 31 Divide each side by '4'. n = 7.75 Simplifying n = 7.75
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