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Simplifying 6(5 + -5n) = 6(2n + 5) (5 * 6 + -5n * 6) = 6(2n + 5) (30 + -30n) = 6(2n + 5) Reorder the terms: 30 + -30n = 6(5 + 2n) 30 + -30n = (5 * 6 + 2n * 6) 30 + -30n = (30 + 12n) Add '-30' to each side of the equation. 30 + -30 + -30n = 30 + -30 + 12n Combine like terms: 30 + -30 = 0 0 + -30n = 30 + -30 + 12n -30n = 30 + -30 + 12n Combine like terms: 30 + -30 = 0 -30n = 0 + 12n -30n = 12n Solving -30n = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -30n + -12n = 12n + -12n Combine like terms: -30n + -12n = -42n -42n = 12n + -12n Combine like terms: 12n + -12n = 0 -42n = 0 Divide each side by '-42'. n = 0 Simplifying n = 0
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