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Simplifying 7 + 2n + -3 = 8n + 6 + -4n Reorder the terms: 7 + -3 + 2n = 8n + 6 + -4n Combine like terms: 7 + -3 = 4 4 + 2n = 8n + 6 + -4n Reorder the terms: 4 + 2n = 6 + 8n + -4n Combine like terms: 8n + -4n = 4n 4 + 2n = 6 + 4n Solving 4 + 2n = 6 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 4 + 2n + -4n = 6 + 4n + -4n Combine like terms: 2n + -4n = -2n 4 + -2n = 6 + 4n + -4n Combine like terms: 4n + -4n = 0 4 + -2n = 6 + 0 4 + -2n = 6 Add '-4' to each side of the equation. 4 + -4 + -2n = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -2n = 6 + -4 -2n = 6 + -4 Combine like terms: 6 + -4 = 2 -2n = 2 Divide each side by '-2'. n = -1 Simplifying n = -1
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