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Simplifying 3 + 4n + -2 = 9n + 9 + -3n Reorder the terms: 3 + -2 + 4n = 9n + 9 + -3n Combine like terms: 3 + -2 = 1 1 + 4n = 9n + 9 + -3n Reorder the terms: 1 + 4n = 9 + 9n + -3n Combine like terms: 9n + -3n = 6n 1 + 4n = 9 + 6n Solving 1 + 4n = 9 + 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. 1 + 4n + -6n = 9 + 6n + -6n Combine like terms: 4n + -6n = -2n 1 + -2n = 9 + 6n + -6n Combine like terms: 6n + -6n = 0 1 + -2n = 9 + 0 1 + -2n = 9 Add '-1' to each side of the equation. 1 + -1 + -2n = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -2n = 9 + -1 -2n = 9 + -1 Combine like terms: 9 + -1 = 8 -2n = 8 Divide each side by '-2'. n = -4 Simplifying n = -4
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