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