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Simplifying 8 + 2n + -7 = 8n + 3 + -4n Reorder the terms: 8 + -7 + 2n = 8n + 3 + -4n Combine like terms: 8 + -7 = 1 1 + 2n = 8n + 3 + -4n Reorder the terms: 1 + 2n = 3 + 8n + -4n Combine like terms: 8n + -4n = 4n 1 + 2n = 3 + 4n Solving 1 + 2n = 3 + 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. 1 + 2n + -4n = 3 + 4n + -4n Combine like terms: 2n + -4n = -2n 1 + -2n = 3 + 4n + -4n Combine like terms: 4n + -4n = 0 1 + -2n = 3 + 0 1 + -2n = 3 Add '-1' to each side of the equation. 1 + -1 + -2n = 3 + -1 Combine like terms: 1 + -1 = 0 0 + -2n = 3 + -1 -2n = 3 + -1 Combine like terms: 3 + -1 = 2 -2n = 2 Divide each side by '-2'. n = -1 Simplifying n = -1
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