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Simplifying 2(3n + -2) + -5(2n + -4) = 0 Reorder the terms: 2(-2 + 3n) + -5(2n + -4) = 0 (-2 * 2 + 3n * 2) + -5(2n + -4) = 0 (-4 + 6n) + -5(2n + -4) = 0 Reorder the terms: -4 + 6n + -5(-4 + 2n) = 0 -4 + 6n + (-4 * -5 + 2n * -5) = 0 -4 + 6n + (20 + -10n) = 0 Reorder the terms: -4 + 20 + 6n + -10n = 0 Combine like terms: -4 + 20 = 16 16 + 6n + -10n = 0 Combine like terms: 6n + -10n = -4n 16 + -4n = 0 Solving 16 + -4n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -4n = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -4n = 0 + -16 -4n = 0 + -16 Combine like terms: 0 + -16 = -16 -4n = -16 Divide each side by '-4'. n = 4 Simplifying n = 4
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