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Simplifying 5(5n + 2) + -6(n + 9) = 0 Reorder the terms: 5(2 + 5n) + -6(n + 9) = 0 (2 * 5 + 5n * 5) + -6(n + 9) = 0 (10 + 25n) + -6(n + 9) = 0 Reorder the terms: 10 + 25n + -6(9 + n) = 0 10 + 25n + (9 * -6 + n * -6) = 0 10 + 25n + (-54 + -6n) = 0 Reorder the terms: 10 + -54 + 25n + -6n = 0 Combine like terms: 10 + -54 = -44 -44 + 25n + -6n = 0 Combine like terms: 25n + -6n = 19n -44 + 19n = 0 Solving -44 + 19n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 19n = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 19n = 0 + 44 19n = 0 + 44 Combine like terms: 0 + 44 = 44 19n = 44 Divide each side by '19'. n = 2.315789474 Simplifying n = 2.315789474
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