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Simplifying 4n + -3(4 + -3n) + 2(4n + -4) + 9(5n + -2) = 0 4n + (4 * -3 + -3n * -3) + 2(4n + -4) + 9(5n + -2) = 0 4n + (-12 + 9n) + 2(4n + -4) + 9(5n + -2) = 0 Reorder the terms: 4n + -12 + 9n + 2(-4 + 4n) + 9(5n + -2) = 0 4n + -12 + 9n + (-4 * 2 + 4n * 2) + 9(5n + -2) = 0 4n + -12 + 9n + (-8 + 8n) + 9(5n + -2) = 0 Reorder the terms: 4n + -12 + 9n + -8 + 8n + 9(-2 + 5n) = 0 4n + -12 + 9n + -8 + 8n + (-2 * 9 + 5n * 9) = 0 4n + -12 + 9n + -8 + 8n + (-18 + 45n) = 0 Reorder the terms: -12 + -8 + -18 + 4n + 9n + 8n + 45n = 0 Combine like terms: -12 + -8 = -20 -20 + -18 + 4n + 9n + 8n + 45n = 0 Combine like terms: -20 + -18 = -38 -38 + 4n + 9n + 8n + 45n = 0 Combine like terms: 4n + 9n = 13n -38 + 13n + 8n + 45n = 0 Combine like terms: 13n + 8n = 21n -38 + 21n + 45n = 0 Combine like terms: 21n + 45n = 66n -38 + 66n = 0 Solving -38 + 66n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 66n = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 66n = 0 + 38 66n = 0 + 38 Combine like terms: 0 + 38 = 38 66n = 38 Divide each side by '66'. n = 0.5757575758 Simplifying n = 0.5757575758
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