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Simplifying 5(3n + -8) = 0 Reorder the terms: 5(-8 + 3n) = 0 (-8 * 5 + 3n * 5) = 0 (-40 + 15n) = 0 Solving -40 + 15n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 15n = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 15n = 0 + 40 15n = 0 + 40 Combine like terms: 0 + 40 = 40 15n = 40 Divide each side by '15'. n = 2.666666667 Simplifying n = 2.666666667
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