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Simplifying 6n = 30 + 30(n + -4) Reorder the terms: 6n = 30 + 30(-4 + n) 6n = 30 + (-4 * 30 + n * 30) 6n = 30 + (-120 + 30n) Combine like terms: 30 + -120 = -90 6n = -90 + 30n Solving 6n = -90 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. 6n + -30n = -90 + 30n + -30n Combine like terms: 6n + -30n = -24n -24n = -90 + 30n + -30n Combine like terms: 30n + -30n = 0 -24n = -90 + 0 -24n = -90 Divide each side by '-24'. n = 3.75 Simplifying n = 3.75
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