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Simplifying 3(n + -9) + -1(1 + -1n) = 0 Reorder the terms: 3(-9 + n) + -1(1 + -1n) = 0 (-9 * 3 + n * 3) + -1(1 + -1n) = 0 (-27 + 3n) + -1(1 + -1n) = 0 -27 + 3n + (1 * -1 + -1n * -1) = 0 -27 + 3n + (-1 + 1n) = 0 Reorder the terms: -27 + -1 + 3n + 1n = 0 Combine like terms: -27 + -1 = -28 -28 + 3n + 1n = 0 Combine like terms: 3n + 1n = 4n -28 + 4n = 0 Solving -28 + 4n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 4n = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 4n = 0 + 28 4n = 0 + 28 Combine like terms: 0 + 28 = 28 4n = 28 Divide each side by '4'. n = 7 Simplifying n = 7
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