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Simplifying 7(2n + -4) = (6n + 7) + 2 Reorder the terms: 7(-4 + 2n) = (6n + 7) + 2 (-4 * 7 + 2n * 7) = (6n + 7) + 2 (-28 + 14n) = (6n + 7) + 2 Reorder the terms: -28 + 14n = (7 + 6n) + 2 Remove parenthesis around (7 + 6n) -28 + 14n = 7 + 6n + 2 Reorder the terms: -28 + 14n = 7 + 2 + 6n Combine like terms: 7 + 2 = 9 -28 + 14n = 9 + 6n Solving -28 + 14n = 9 + 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. -28 + 14n + -6n = 9 + 6n + -6n Combine like terms: 14n + -6n = 8n -28 + 8n = 9 + 6n + -6n Combine like terms: 6n + -6n = 0 -28 + 8n = 9 + 0 -28 + 8n = 9 Add '28' to each side of the equation. -28 + 28 + 8n = 9 + 28 Combine like terms: -28 + 28 = 0 0 + 8n = 9 + 28 8n = 9 + 28 Combine like terms: 9 + 28 = 37 8n = 37 Divide each side by '8'. n = 4.625 Simplifying n = 4.625
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