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Simplifying 5(2n + -3) = (5n + 3) + 6 Reorder the terms: 5(-3 + 2n) = (5n + 3) + 6 (-3 * 5 + 2n * 5) = (5n + 3) + 6 (-15 + 10n) = (5n + 3) + 6 Reorder the terms: -15 + 10n = (3 + 5n) + 6 Remove parenthesis around (3 + 5n) -15 + 10n = 3 + 5n + 6 Reorder the terms: -15 + 10n = 3 + 6 + 5n Combine like terms: 3 + 6 = 9 -15 + 10n = 9 + 5n Solving -15 + 10n = 9 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -15 + 10n + -5n = 9 + 5n + -5n Combine like terms: 10n + -5n = 5n -15 + 5n = 9 + 5n + -5n Combine like terms: 5n + -5n = 0 -15 + 5n = 9 + 0 -15 + 5n = 9 Add '15' to each side of the equation. -15 + 15 + 5n = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 5n = 9 + 15 5n = 9 + 15 Combine like terms: 9 + 15 = 24 5n = 24 Divide each side by '5'. n = 4.8 Simplifying n = 4.8
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