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Simplifying -3(1 + -3n) + -2 = 4n + -5 (1 * -3 + -3n * -3) + -2 = 4n + -5 (-3 + 9n) + -2 = 4n + -5 Reorder the terms: -3 + -2 + 9n = 4n + -5 Combine like terms: -3 + -2 = -5 -5 + 9n = 4n + -5 Reorder the terms: -5 + 9n = -5 + 4n Add '5' to each side of the equation. -5 + 5 + 9n = -5 + 5 + 4n Combine like terms: -5 + 5 = 0 0 + 9n = -5 + 5 + 4n 9n = -5 + 5 + 4n Combine like terms: -5 + 5 = 0 9n = 0 + 4n 9n = 4n Solving 9n = 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 9n + -4n = 4n + -4n Combine like terms: 9n + -4n = 5n 5n = 4n + -4n Combine like terms: 4n + -4n = 0 5n = 0 Divide each side by '5'. n = 0 Simplifying n = 0
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