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Simplifying 5(2n + -3) = (3n + 6) + 2 Reorder the terms: 5(-3 + 2n) = (3n + 6) + 2 (-3 * 5 + 2n * 5) = (3n + 6) + 2 (-15 + 10n) = (3n + 6) + 2 Reorder the terms: -15 + 10n = (6 + 3n) + 2 Remove parenthesis around (6 + 3n) -15 + 10n = 6 + 3n + 2 Reorder the terms: -15 + 10n = 6 + 2 + 3n Combine like terms: 6 + 2 = 8 -15 + 10n = 8 + 3n Solving -15 + 10n = 8 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -15 + 10n + -3n = 8 + 3n + -3n Combine like terms: 10n + -3n = 7n -15 + 7n = 8 + 3n + -3n Combine like terms: 3n + -3n = 0 -15 + 7n = 8 + 0 -15 + 7n = 8 Add '15' to each side of the equation. -15 + 15 + 7n = 8 + 15 Combine like terms: -15 + 15 = 0 0 + 7n = 8 + 15 7n = 8 + 15 Combine like terms: 8 + 15 = 23 7n = 23 Divide each side by '7'. n = 3.285714286 Simplifying n = 3.285714286
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