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Simplifying 6n = 30 + 3(n + -4) Reorder the terms: 6n = 30 + 3(-4 + n) 6n = 30 + (-4 * 3 + n * 3) 6n = 30 + (-12 + 3n) Combine like terms: 30 + -12 = 18 6n = 18 + 3n Solving 6n = 18 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 6n + -3n = 18 + 3n + -3n Combine like terms: 6n + -3n = 3n 3n = 18 + 3n + -3n Combine like terms: 3n + -3n = 0 3n = 18 + 0 3n = 18 Divide each side by '3'. n = 6 Simplifying n = 6
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