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Simplifying -6 + 3n = 2n + -6 + 4n + 9 Reorder the terms: -6 + 3n = -6 + 9 + 2n + 4n Combine like terms: -6 + 9 = 3 -6 + 3n = 3 + 2n + 4n Combine like terms: 2n + 4n = 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 = -3n -6 + -3n = 3 + 6n + -6n Combine like terms: 6n + -6n = 0 -6 + -3n = 3 + 0 -6 + -3n = 3 Add '6' to each side of the equation. -6 + 6 + -3n = 3 + 6 Combine like terms: -6 + 6 = 0 0 + -3n = 3 + 6 -3n = 3 + 6 Combine like terms: 3 + 6 = 9 -3n = 9 Divide each side by '-3'. n = -3 Simplifying n = -3
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