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Simplifying 6(2n + -2) = (8n + 8) + 1 Reorder the terms: 6(-2 + 2n) = (8n + 8) + 1 (-2 * 6 + 2n * 6) = (8n + 8) + 1 (-12 + 12n) = (8n + 8) + 1 Reorder the terms: -12 + 12n = (8 + 8n) + 1 Remove parenthesis around (8 + 8n) -12 + 12n = 8 + 8n + 1 Reorder the terms: -12 + 12n = 8 + 1 + 8n Combine like terms: 8 + 1 = 9 -12 + 12n = 9 + 8n Solving -12 + 12n = 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. -12 + 12n + -8n = 9 + 8n + -8n Combine like terms: 12n + -8n = 4n -12 + 4n = 9 + 8n + -8n Combine like terms: 8n + -8n = 0 -12 + 4n = 9 + 0 -12 + 4n = 9 Add '12' to each side of the equation. -12 + 12 + 4n = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 4n = 9 + 12 4n = 9 + 12 Combine like terms: 9 + 12 = 21 4n = 21 Divide each side by '4'. n = 5.25 Simplifying n = 5.25
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