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Simplifying -4(n + 9) + 7(4n + -6) = 0 Reorder the terms: -4(9 + n) + 7(4n + -6) = 0 (9 * -4 + n * -4) + 7(4n + -6) = 0 (-36 + -4n) + 7(4n + -6) = 0 Reorder the terms: -36 + -4n + 7(-6 + 4n) = 0 -36 + -4n + (-6 * 7 + 4n * 7) = 0 -36 + -4n + (-42 + 28n) = 0 Reorder the terms: -36 + -42 + -4n + 28n = 0 Combine like terms: -36 + -42 = -78 -78 + -4n + 28n = 0 Combine like terms: -4n + 28n = 24n -78 + 24n = 0 Solving -78 + 24n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + 24n = 0 + 78 Combine like terms: -78 + 78 = 0 0 + 24n = 0 + 78 24n = 0 + 78 Combine like terms: 0 + 78 = 78 24n = 78 Divide each side by '24'. n = 3.25 Simplifying n = 3.25
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