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Simplifying 3(4 + 3n) = 4(n + -2) (4 * 3 + 3n * 3) = 4(n + -2) (12 + 9n) = 4(n + -2) Reorder the terms: 12 + 9n = 4(-2 + n) 12 + 9n = (-2 * 4 + n * 4) 12 + 9n = (-8 + 4n) Solving 12 + 9n = -8 + 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. 12 + 9n + -4n = -8 + 4n + -4n Combine like terms: 9n + -4n = 5n 12 + 5n = -8 + 4n + -4n Combine like terms: 4n + -4n = 0 12 + 5n = -8 + 0 12 + 5n = -8 Add '-12' to each side of the equation. 12 + -12 + 5n = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 5n = -8 + -12 5n = -8 + -12 Combine like terms: -8 + -12 = -20 5n = -20 Divide each side by '5'. n = -4 Simplifying n = -4
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