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Simplifying 2(3n + -2) = (8n + 7) + 2 Reorder the terms: 2(-2 + 3n) = (8n + 7) + 2 (-2 * 2 + 3n * 2) = (8n + 7) + 2 (-4 + 6n) = (8n + 7) + 2 Reorder the terms: -4 + 6n = (7 + 8n) + 2 Remove parenthesis around (7 + 8n) -4 + 6n = 7 + 8n + 2 Reorder the terms: -4 + 6n = 7 + 2 + 8n Combine like terms: 7 + 2 = 9 -4 + 6n = 9 + 8n Solving -4 + 6n = 9 + 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. -4 + 6n + -8n = 9 + 8n + -8n Combine like terms: 6n + -8n = -2n -4 + -2n = 9 + 8n + -8n Combine like terms: 8n + -8n = 0 -4 + -2n = 9 + 0 -4 + -2n = 9 Add '4' to each side of the equation. -4 + 4 + -2n = 9 + 4 Combine like terms: -4 + 4 = 0 0 + -2n = 9 + 4 -2n = 9 + 4 Combine like terms: 9 + 4 = 13 -2n = 13 Divide each side by '-2'. n = -6.5 Simplifying n = -6.5
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