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Simplifying 2(-3 + 5n) + -9(-6n + -4) = 0 (-3 * 2 + 5n * 2) + -9(-6n + -4) = 0 (-6 + 10n) + -9(-6n + -4) = 0 Reorder the terms: -6 + 10n + -9(-4 + -6n) = 0 -6 + 10n + (-4 * -9 + -6n * -9) = 0 -6 + 10n + (36 + 54n) = 0 Reorder the terms: -6 + 36 + 10n + 54n = 0 Combine like terms: -6 + 36 = 30 30 + 10n + 54n = 0 Combine like terms: 10n + 54n = 64n 30 + 64n = 0 Solving 30 + 64n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 64n = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 64n = 0 + -30 64n = 0 + -30 Combine like terms: 0 + -30 = -30 64n = -30 Divide each side by '64'. n = -0.46875 Simplifying n = -0.46875
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