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Simplifying -2(2n + -3) + 3(5n + 4) = 0 Reorder the terms: -2(-3 + 2n) + 3(5n + 4) = 0 (-3 * -2 + 2n * -2) + 3(5n + 4) = 0 (6 + -4n) + 3(5n + 4) = 0 Reorder the terms: 6 + -4n + 3(4 + 5n) = 0 6 + -4n + (4 * 3 + 5n * 3) = 0 6 + -4n + (12 + 15n) = 0 Reorder the terms: 6 + 12 + -4n + 15n = 0 Combine like terms: 6 + 12 = 18 18 + -4n + 15n = 0 Combine like terms: -4n + 15n = 11n 18 + 11n = 0 Solving 18 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 11n = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 11n = 0 + -18 11n = 0 + -18 Combine like terms: 0 + -18 = -18 11n = -18 Divide each side by '11'. n = -1.636363636 Simplifying n = -1.636363636
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