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