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Simplifying 2(3n + 7) = -4(3 + -2n) Reorder the terms: 2(7 + 3n) = -4(3 + -2n) (7 * 2 + 3n * 2) = -4(3 + -2n) (14 + 6n) = -4(3 + -2n) 14 + 6n = (3 * -4 + -2n * -4) 14 + 6n = (-12 + 8n) Solving 14 + 6n = -12 + 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. 14 + 6n + -8n = -12 + 8n + -8n Combine like terms: 6n + -8n = -2n 14 + -2n = -12 + 8n + -8n Combine like terms: 8n + -8n = 0 14 + -2n = -12 + 0 14 + -2n = -12 Add '-14' to each side of the equation. 14 + -14 + -2n = -12 + -14 Combine like terms: 14 + -14 = 0 0 + -2n = -12 + -14 -2n = -12 + -14 Combine like terms: -12 + -14 = -26 -2n = -26 Divide each side by '-2'. n = 13 Simplifying n = 13
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