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Simplifying 4(n + 4) = -2(4 + 2n) Reorder the terms: 4(4 + n) = -2(4 + 2n) (4 * 4 + n * 4) = -2(4 + 2n) (16 + 4n) = -2(4 + 2n) 16 + 4n = (4 * -2 + 2n * -2) 16 + 4n = (-8 + -4n) Solving 16 + 4n = -8 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 16 + 4n + 4n = -8 + -4n + 4n Combine like terms: 4n + 4n = 8n 16 + 8n = -8 + -4n + 4n Combine like terms: -4n + 4n = 0 16 + 8n = -8 + 0 16 + 8n = -8 Add '-16' to each side of the equation. 16 + -16 + 8n = -8 + -16 Combine like terms: 16 + -16 = 0 0 + 8n = -8 + -16 8n = -8 + -16 Combine like terms: -8 + -16 = -24 8n = -24 Divide each side by '8'. n = -3 Simplifying n = -3
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