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Simplifying 5n + 3(2n + -3) + -3 = 0 Reorder the terms: 5n + 3(-3 + 2n) + -3 = 0 5n + (-3 * 3 + 2n * 3) + -3 = 0 5n + (-9 + 6n) + -3 = 0 Reorder the terms: -9 + -3 + 5n + 6n = 0 Combine like terms: -9 + -3 = -12 -12 + 5n + 6n = 0 Combine like terms: 5n + 6n = 11n -12 + 11n = 0 Solving -12 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 11n = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 11n = 0 + 12 11n = 0 + 12 Combine like terms: 0 + 12 = 12 11n = 12 Divide each side by '11'. n = 1.090909091 Simplifying n = 1.090909091
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