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Simplifying -222 = 6(4n + 3) + 6n Reorder the terms: -222 = 6(3 + 4n) + 6n -222 = (3 * 6 + 4n * 6) + 6n -222 = (18 + 24n) + 6n Combine like terms: 24n + 6n = 30n -222 = 18 + 30n Solving -222 = 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. -222 + -30n = 18 + 30n + -30n Combine like terms: 30n + -30n = 0 -222 + -30n = 18 + 0 -222 + -30n = 18 Add '222' to each side of the equation. -222 + 222 + -30n = 18 + 222 Combine like terms: -222 + 222 = 0 0 + -30n = 18 + 222 -30n = 18 + 222 Combine like terms: 18 + 222 = 240 -30n = 240 Divide each side by '-30'. n = -8 Simplifying n = -8
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