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Simplifying 10(2n + -4) + 5(3n + 3) = 0 Reorder the terms: 10(-4 + 2n) + 5(3n + 3) = 0 (-4 * 10 + 2n * 10) + 5(3n + 3) = 0 (-40 + 20n) + 5(3n + 3) = 0 Reorder the terms: -40 + 20n + 5(3 + 3n) = 0 -40 + 20n + (3 * 5 + 3n * 5) = 0 -40 + 20n + (15 + 15n) = 0 Reorder the terms: -40 + 15 + 20n + 15n = 0 Combine like terms: -40 + 15 = -25 -25 + 20n + 15n = 0 Combine like terms: 20n + 15n = 35n -25 + 35n = 0 Solving -25 + 35n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 35n = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 35n = 0 + 25 35n = 0 + 25 Combine like terms: 0 + 25 = 25 35n = 25 Divide each side by '35'. n = 0.7142857143 Simplifying n = 0.7142857143
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