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Simplifying 6n = 30 + 4(n + -4) Reorder the terms: 6n = 30 + 4(-4 + n) 6n = 30 + (-4 * 4 + n * 4) 6n = 30 + (-16 + 4n) Combine like terms: 30 + -16 = 14 6n = 14 + 4n Solving 6n = 14 + 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. 6n + -4n = 14 + 4n + -4n Combine like terms: 6n + -4n = 2n 2n = 14 + 4n + -4n Combine like terms: 4n + -4n = 0 2n = 14 + 0 2n = 14 Divide each side by '2'. n = 7 Simplifying n = 7
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