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Simplifying 5(2n + -3) = 4n + 9 Reorder the terms: 5(-3 + 2n) = 4n + 9 (-3 * 5 + 2n * 5) = 4n + 9 (-15 + 10n) = 4n + 9 Reorder the terms: -15 + 10n = 9 + 4n Solving -15 + 10n = 9 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -15 + 10n + -4n = 9 + 4n + -4n Combine like terms: 10n + -4n = 6n -15 + 6n = 9 + 4n + -4n Combine like terms: 4n + -4n = 0 -15 + 6n = 9 + 0 -15 + 6n = 9 Add '15' to each side of the equation. -15 + 15 + 6n = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 6n = 9 + 15 6n = 9 + 15 Combine like terms: 9 + 15 = 24 6n = 24 Divide each side by '6'. n = 4 Simplifying n = 4
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