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Simplifying 3n + -6 = 3 + -5n + -1n Reorder the terms: -6 + 3n = 3 + -5n + -1n Combine like terms: -5n + -1n = -6n -6 + 3n = 3 + -6n Solving -6 + 3n = 3 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -6 + 3n + 6n = 3 + -6n + 6n Combine like terms: 3n + 6n = 9n -6 + 9n = 3 + -6n + 6n Combine like terms: -6n + 6n = 0 -6 + 9n = 3 + 0 -6 + 9n = 3 Add '6' to each side of the equation. -6 + 6 + 9n = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 9n = 3 + 6 9n = 3 + 6 Combine like terms: 3 + 6 = 9 9n = 9 Divide each side by '9'. n = 1 Simplifying n = 1
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