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Simplifying 9n + -54 = 3n + -6 Reorder the terms: -54 + 9n = 3n + -6 Reorder the terms: -54 + 9n = -6 + 3n Solving -54 + 9n = -6 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -54 + 9n + -3n = -6 + 3n + -3n Combine like terms: 9n + -3n = 6n -54 + 6n = -6 + 3n + -3n Combine like terms: 3n + -3n = 0 -54 + 6n = -6 + 0 -54 + 6n = -6 Add '54' to each side of the equation. -54 + 54 + 6n = -6 + 54 Combine like terms: -54 + 54 = 0 0 + 6n = -6 + 54 6n = -6 + 54 Combine like terms: -6 + 54 = 48 6n = 48 Divide each side by '6'. n = 8 Simplifying n = 8
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