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Simplifying 4(1 + 2n) = -2(4n + 6) (1 * 4 + 2n * 4) = -2(4n + 6) (4 + 8n) = -2(4n + 6) Reorder the terms: 4 + 8n = -2(6 + 4n) 4 + 8n = (6 * -2 + 4n * -2) 4 + 8n = (-12 + -8n) Solving 4 + 8n = -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. 4 + 8n + 8n = -12 + -8n + 8n Combine like terms: 8n + 8n = 16n 4 + 16n = -12 + -8n + 8n Combine like terms: -8n + 8n = 0 4 + 16n = -12 + 0 4 + 16n = -12 Add '-4' to each side of the equation. 4 + -4 + 16n = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 16n = -12 + -4 16n = -12 + -4 Combine like terms: -12 + -4 = -16 16n = -16 Divide each side by '16'. n = -1 Simplifying n = -1
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