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Simplifying -30 + -6n = -6(5n + -3) Reorder the terms: -30 + -6n = -6(-3 + 5n) -30 + -6n = (-3 * -6 + 5n * -6) -30 + -6n = (18 + -30n) Solving -30 + -6n = 18 + -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. -30 + -6n + 30n = 18 + -30n + 30n Combine like terms: -6n + 30n = 24n -30 + 24n = 18 + -30n + 30n Combine like terms: -30n + 30n = 0 -30 + 24n = 18 + 0 -30 + 24n = 18 Add '30' to each side of the equation. -30 + 30 + 24n = 18 + 30 Combine like terms: -30 + 30 = 0 0 + 24n = 18 + 30 24n = 18 + 30 Combine like terms: 18 + 30 = 48 24n = 48 Divide each side by '24'. n = 2 Simplifying n = 2
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