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Simplifying 5(2n + -3) = 9(n + 3) Reorder the terms: 5(-3 + 2n) = 9(n + 3) (-3 * 5 + 2n * 5) = 9(n + 3) (-15 + 10n) = 9(n + 3) Reorder the terms: -15 + 10n = 9(3 + n) -15 + 10n = (3 * 9 + n * 9) -15 + 10n = (27 + 9n) Solving -15 + 10n = 27 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -15 + 10n + -9n = 27 + 9n + -9n Combine like terms: 10n + -9n = 1n -15 + 1n = 27 + 9n + -9n Combine like terms: 9n + -9n = 0 -15 + 1n = 27 + 0 -15 + 1n = 27 Add '15' to each side of the equation. -15 + 15 + 1n = 27 + 15 Combine like terms: -15 + 15 = 0 0 + 1n = 27 + 15 1n = 27 + 15 Combine like terms: 27 + 15 = 42 1n = 42 Divide each side by '1'. n = 42 Simplifying n = 42
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