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Simplifying 3(2n + 4) + 5(-3n + -8) = 0 Reorder the terms: 3(4 + 2n) + 5(-3n + -8) = 0 (4 * 3 + 2n * 3) + 5(-3n + -8) = 0 (12 + 6n) + 5(-3n + -8) = 0 Reorder the terms: 12 + 6n + 5(-8 + -3n) = 0 12 + 6n + (-8 * 5 + -3n * 5) = 0 12 + 6n + (-40 + -15n) = 0 Reorder the terms: 12 + -40 + 6n + -15n = 0 Combine like terms: 12 + -40 = -28 -28 + 6n + -15n = 0 Combine like terms: 6n + -15n = -9n -28 + -9n = 0 Solving -28 + -9n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -9n = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -9n = 0 + 28 -9n = 0 + 28 Combine like terms: 0 + 28 = 28 -9n = 28 Divide each side by '-9'. n = -3.111111111 Simplifying n = -3.111111111
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