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Simplifying -3(-3n + -8) = 29 + 4n Reorder the terms: -3(-8 + -3n) = 29 + 4n (-8 * -3 + -3n * -3) = 29 + 4n (24 + 9n) = 29 + 4n Solving 24 + 9n = 29 + 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. 24 + 9n + -4n = 29 + 4n + -4n Combine like terms: 9n + -4n = 5n 24 + 5n = 29 + 4n + -4n Combine like terms: 4n + -4n = 0 24 + 5n = 29 + 0 24 + 5n = 29 Add '-24' to each side of the equation. 24 + -24 + 5n = 29 + -24 Combine like terms: 24 + -24 = 0 0 + 5n = 29 + -24 5n = 29 + -24 Combine like terms: 29 + -24 = 5 5n = 5 Divide each side by '5'. n = 1 Simplifying n = 1
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