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Simplifying (2n + -2) = (8n + 1) Reorder the terms: (-2 + 2n) = (8n + 1) Remove parenthesis around (-2 + 2n) -2 + 2n = (8n + 1) Reorder the terms: -2 + 2n = (1 + 8n) Remove parenthesis around (1 + 8n) -2 + 2n = 1 + 8n Solving -2 + 2n = 1 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -2 + 2n + -8n = 1 + 8n + -8n Combine like terms: 2n + -8n = -6n -2 + -6n = 1 + 8n + -8n Combine like terms: 8n + -8n = 0 -2 + -6n = 1 + 0 -2 + -6n = 1 Add '2' to each side of the equation. -2 + 2 + -6n = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -6n = 1 + 2 -6n = 1 + 2 Combine like terms: 1 + 2 = 3 -6n = 3 Divide each side by '-6'. n = -0.5 Simplifying n = -0.5
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