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Simplifying 5(2n + -3) + -6n = 3(3n + 5) Reorder the terms: 5(-3 + 2n) + -6n = 3(3n + 5) (-3 * 5 + 2n * 5) + -6n = 3(3n + 5) (-15 + 10n) + -6n = 3(3n + 5) Combine like terms: 10n + -6n = 4n -15 + 4n = 3(3n + 5) Reorder the terms: -15 + 4n = 3(5 + 3n) -15 + 4n = (5 * 3 + 3n * 3) -15 + 4n = (15 + 9n) Solving -15 + 4n = 15 + 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 + 4n + -9n = 15 + 9n + -9n Combine like terms: 4n + -9n = -5n -15 + -5n = 15 + 9n + -9n Combine like terms: 9n + -9n = 0 -15 + -5n = 15 + 0 -15 + -5n = 15 Add '15' to each side of the equation. -15 + 15 + -5n = 15 + 15 Combine like terms: -15 + 15 = 0 0 + -5n = 15 + 15 -5n = 15 + 15 Combine like terms: 15 + 15 = 30 -5n = 30 Divide each side by '-5'. n = -6 Simplifying n = -6
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