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Simplifying 9n + 2(3 + -5n) + 4(2n + 4) + 7(2n + -5) = 0 9n + (3 * 2 + -5n * 2) + 4(2n + 4) + 7(2n + -5) = 0 9n + (6 + -10n) + 4(2n + 4) + 7(2n + -5) = 0 Reorder the terms: 9n + 6 + -10n + 4(4 + 2n) + 7(2n + -5) = 0 9n + 6 + -10n + (4 * 4 + 2n * 4) + 7(2n + -5) = 0 9n + 6 + -10n + (16 + 8n) + 7(2n + -5) = 0 Reorder the terms: 9n + 6 + -10n + 16 + 8n + 7(-5 + 2n) = 0 9n + 6 + -10n + 16 + 8n + (-5 * 7 + 2n * 7) = 0 9n + 6 + -10n + 16 + 8n + (-35 + 14n) = 0 Reorder the terms: 6 + 16 + -35 + 9n + -10n + 8n + 14n = 0 Combine like terms: 6 + 16 = 22 22 + -35 + 9n + -10n + 8n + 14n = 0 Combine like terms: 22 + -35 = -13 -13 + 9n + -10n + 8n + 14n = 0 Combine like terms: 9n + -10n = -1n -13 + -1n + 8n + 14n = 0 Combine like terms: -1n + 8n = 7n -13 + 7n + 14n = 0 Combine like terms: 7n + 14n = 21n -13 + 21n = 0 Solving -13 + 21n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 21n = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 21n = 0 + 13 21n = 0 + 13 Combine like terms: 0 + 13 = 13 21n = 13 Divide each side by '21'. n = 0.619047619 Simplifying n = 0.619047619
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