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Simplifying 2(4n) + 3n = 3(3n + -4) Remove parenthesis around (4n) 2 * 4n + 3n = 3(3n + -4) Multiply 2 * 4 8n + 3n = 3(3n + -4) Combine like terms: 8n + 3n = 11n 11n = 3(3n + -4) Reorder the terms: 11n = 3(-4 + 3n) 11n = (-4 * 3 + 3n * 3) 11n = (-12 + 9n) Solving 11n = -12 + 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. 11n + -9n = -12 + 9n + -9n Combine like terms: 11n + -9n = 2n 2n = -12 + 9n + -9n Combine like terms: 9n + -9n = 0 2n = -12 + 0 2n = -12 Divide each side by '2'. n = -6 Simplifying n = -6
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