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Simplifying 2(2n + -2) = (8n + 7) + 9 Reorder the terms: 2(-2 + 2n) = (8n + 7) + 9 (-2 * 2 + 2n * 2) = (8n + 7) + 9 (-4 + 4n) = (8n + 7) + 9 Reorder the terms: -4 + 4n = (7 + 8n) + 9 Remove parenthesis around (7 + 8n) -4 + 4n = 7 + 8n + 9 Reorder the terms: -4 + 4n = 7 + 9 + 8n Combine like terms: 7 + 9 = 16 -4 + 4n = 16 + 8n Solving -4 + 4n = 16 + 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 + 4n + -8n = 16 + 8n + -8n Combine like terms: 4n + -8n = -4n -4 + -4n = 16 + 8n + -8n Combine like terms: 8n + -8n = 0 -4 + -4n = 16 + 0 -4 + -4n = 16 Add '4' to each side of the equation. -4 + 4 + -4n = 16 + 4 Combine like terms: -4 + 4 = 0 0 + -4n = 16 + 4 -4n = 16 + 4 Combine like terms: 16 + 4 = 20 -4n = 20 Divide each side by '-4'. n = -5 Simplifying n = -5
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