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Simplifying 4n + -3(4 + -3) + 2(4n + -4) + 9(5n + -2) = 0 Combine like terms: 4 + -3 = 1 4n + -3(1) + 2(4n + -4) + 9(5n + -2) = 0 Multiply -3 * 1 4n + -3 + 2(4n + -4) + 9(5n + -2) = 0 Reorder the terms: 4n + -3 + 2(-4 + 4n) + 9(5n + -2) = 0 4n + -3 + (-4 * 2 + 4n * 2) + 9(5n + -2) = 0 4n + -3 + (-8 + 8n) + 9(5n + -2) = 0 Reorder the terms: 4n + -3 + -8 + 8n + 9(-2 + 5n) = 0 4n + -3 + -8 + 8n + (-2 * 9 + 5n * 9) = 0 4n + -3 + -8 + 8n + (-18 + 45n) = 0 Reorder the terms: -3 + -8 + -18 + 4n + 8n + 45n = 0 Combine like terms: -3 + -8 = -11 -11 + -18 + 4n + 8n + 45n = 0 Combine like terms: -11 + -18 = -29 -29 + 4n + 8n + 45n = 0 Combine like terms: 4n + 8n = 12n -29 + 12n + 45n = 0 Combine like terms: 12n + 45n = 57n -29 + 57n = 0 Solving -29 + 57n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 57n = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 57n = 0 + 29 57n = 0 + 29 Combine like terms: 0 + 29 = 29 57n = 29 Divide each side by '57'. n = 0.5087719298 Simplifying n = 0.5087719298
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