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Simplifying -3[6 + -1(3n + 2)] + 16 = 4(6 + n) Reorder the terms: -3[6 + -1(2 + 3n)] + 16 = 4(6 + n) -3[6 + (2 * -1 + 3n * -1)] + 16 = 4(6 + n) -3[6 + (-2 + -3n)] + 16 = 4(6 + n) Combine like terms: 6 + -2 = 4 -3[4 + -3n] + 16 = 4(6 + n) [4 * -3 + -3n * -3] + 16 = 4(6 + n) [-12 + 9n] + 16 = 4(6 + n) Reorder the terms: -12 + 16 + 9n = 4(6 + n) Combine like terms: -12 + 16 = 4 4 + 9n = 4(6 + n) 4 + 9n = (6 * 4 + n * 4) 4 + 9n = (24 + 4n) Solving 4 + 9n = 24 + 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. 4 + 9n + -4n = 24 + 4n + -4n Combine like terms: 9n + -4n = 5n 4 + 5n = 24 + 4n + -4n Combine like terms: 4n + -4n = 0 4 + 5n = 24 + 0 4 + 5n = 24 Add '-4' to each side of the equation. 4 + -4 + 5n = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 5n = 24 + -4 5n = 24 + -4 Combine like terms: 24 + -4 = 20 5n = 20 Divide each side by '5'. n = 4 Simplifying n = 4
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