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Simplifying -66 = -6(5n + 6) Reorder the terms: -66 = -6(6 + 5n) -66 = (6 * -6 + 5n * -6) -66 = (-36 + -30n) Solving -66 = -36 + -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. -66 + 30n = -36 + -30n + 30n Combine like terms: -30n + 30n = 0 -66 + 30n = -36 + 0 -66 + 30n = -36 Add '66' to each side of the equation. -66 + 66 + 30n = -36 + 66 Combine like terms: -66 + 66 = 0 0 + 30n = -36 + 66 30n = -36 + 66 Combine like terms: -36 + 66 = 30 30n = 30 Divide each side by '30'. n = 1 Simplifying n = 1
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