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Simplifying -4(3n + 9) + 3(n + -5) = 0 Reorder the terms: -4(9 + 3n) + 3(n + -5) = 0 (9 * -4 + 3n * -4) + 3(n + -5) = 0 (-36 + -12n) + 3(n + -5) = 0 Reorder the terms: -36 + -12n + 3(-5 + n) = 0 -36 + -12n + (-5 * 3 + n * 3) = 0 -36 + -12n + (-15 + 3n) = 0 Reorder the terms: -36 + -15 + -12n + 3n = 0 Combine like terms: -36 + -15 = -51 -51 + -12n + 3n = 0 Combine like terms: -12n + 3n = -9n -51 + -9n = 0 Solving -51 + -9n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + -9n = 0 + 51 Combine like terms: -51 + 51 = 0 0 + -9n = 0 + 51 -9n = 0 + 51 Combine like terms: 0 + 51 = 51 -9n = 51 Divide each side by '-9'. n = -5.666666667 Simplifying n = -5.666666667
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