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Simplifying 2(4n + 7) = 2n + -4 Reorder the terms: 2(7 + 4n) = 2n + -4 (7 * 2 + 4n * 2) = 2n + -4 (14 + 8n) = 2n + -4 Reorder the terms: 14 + 8n = -4 + 2n Solving 14 + 8n = -4 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 14 + 8n + -2n = -4 + 2n + -2n Combine like terms: 8n + -2n = 6n 14 + 6n = -4 + 2n + -2n Combine like terms: 2n + -2n = 0 14 + 6n = -4 + 0 14 + 6n = -4 Add '-14' to each side of the equation. 14 + -14 + 6n = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 6n = -4 + -14 6n = -4 + -14 Combine like terms: -4 + -14 = -18 6n = -18 Divide each side by '6'. n = -3 Simplifying n = -3
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