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Simplifying 8 = 8n + -4(a + 8) Reorder the terms: 8 = 8n + -4(8 + a) 8 = 8n + (8 * -4 + a * -4) 8 = 8n + (-32 + -4a) Reorder the terms: 8 = -32 + -4a + 8n Solving 8 = -32 + -4a + 8n Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 8 + 4a = -32 + -4a + 4a + 8n Combine like terms: -4a + 4a = 0 8 + 4a = -32 + 0 + 8n 8 + 4a = -32 + 8n Add '-8' to each side of the equation. 8 + -8 + 4a = -32 + -8 + 8n Combine like terms: 8 + -8 = 0 0 + 4a = -32 + -8 + 8n 4a = -32 + -8 + 8n Combine like terms: -32 + -8 = -40 4a = -40 + 8n Divide each side by '4'. a = -10 + 2n Simplifying a = -10 + 2n
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