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Simplifying 6n = 45 + (n * -3) Reorder the terms for easier multiplication: 6n = 45 + (-3n) Solving 6n = 45 + (-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. 6n + (3n) = 45 + (-3n) + (3n) Combine like terms: 6n + (3n) = 9n 9n = 45 + (-3n) + (3n) Combine like terms: (-3n) + (3n) = 0 9n = 45 + 0 9n = 45 Divide each side by '9'. n = 5 Simplifying n = 5
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