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Simplifying 3x + 12 + 5n + -4 + 4x + -2n + 6n = 0 Reorder the terms: 12 + -4 + 5n + -2n + 6n + 3x + 4x = 0 Combine like terms: 12 + -4 = 8 8 + 5n + -2n + 6n + 3x + 4x = 0 Combine like terms: 5n + -2n = 3n 8 + 3n + 6n + 3x + 4x = 0 Combine like terms: 3n + 6n = 9n 8 + 9n + 3x + 4x = 0 Combine like terms: 3x + 4x = 7x 8 + 9n + 7x = 0 Solving 8 + 9n + 7x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 9n + -8 + 7x = 0 + -8 Reorder the terms: 8 + -8 + 9n + 7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9n + 7x = 0 + -8 9n + 7x = 0 + -8 Combine like terms: 0 + -8 = -8 9n + 7x = -8 Add '-7x' to each side of the equation. 9n + 7x + -7x = -8 + -7x Combine like terms: 7x + -7x = 0 9n + 0 = -8 + -7x 9n = -8 + -7x Divide each side by '9'. n = -0.8888888889 + -0.7777777778x Simplifying n = -0.8888888889 + -0.7777777778x
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