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Simplifying 6n + -2n + 12 = 4n + -4 + -2n Reorder the terms: 12 + 6n + -2n = 4n + -4 + -2n Combine like terms: 6n + -2n = 4n 12 + 4n = 4n + -4 + -2n Reorder the terms: 12 + 4n = -4 + 4n + -2n Combine like terms: 4n + -2n = 2n 12 + 4n = -4 + 2n Solving 12 + 4n = -4 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 12 + 4n + -2n = -4 + 2n + -2n Combine like terms: 4n + -2n = 2n 12 + 2n = -4 + 2n + -2n Combine like terms: 2n + -2n = 0 12 + 2n = -4 + 0 12 + 2n = -4 Add '-12' to each side of the equation. 12 + -12 + 2n = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 2n = -4 + -12 2n = -4 + -12 Combine like terms: -4 + -12 = -16 2n = -16 Divide each side by '2'. n = -8 Simplifying n = -8
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