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Simplifying 7(2n + -2) = (6n + 7) + 6 Reorder the terms: 7(-2 + 2n) = (6n + 7) + 6 (-2 * 7 + 2n * 7) = (6n + 7) + 6 (-14 + 14n) = (6n + 7) + 6 Reorder the terms: -14 + 14n = (7 + 6n) + 6 Remove parenthesis around (7 + 6n) -14 + 14n = 7 + 6n + 6 Reorder the terms: -14 + 14n = 7 + 6 + 6n Combine like terms: 7 + 6 = 13 -14 + 14n = 13 + 6n Solving -14 + 14n = 13 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -14 + 14n + -6n = 13 + 6n + -6n Combine like terms: 14n + -6n = 8n -14 + 8n = 13 + 6n + -6n Combine like terms: 6n + -6n = 0 -14 + 8n = 13 + 0 -14 + 8n = 13 Add '14' to each side of the equation. -14 + 14 + 8n = 13 + 14 Combine like terms: -14 + 14 = 0 0 + 8n = 13 + 14 8n = 13 + 14 Combine like terms: 13 + 14 = 27 8n = 27 Divide each side by '8'. n = 3.375 Simplifying n = 3.375
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