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Simplifying -8n + 4(1 + 5a) = -6n + -14 -8n + (1 * 4 + 5a * 4) = -6n + -14 -8n + (4 + 20a) = -6n + -14 Reorder the terms: 4 + 20a + -8n = -6n + -14 Reorder the terms: 4 + 20a + -8n = -14 + -6n Solving 4 + 20a + -8n = -14 + -6n Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 20a + -4 + -8n = -14 + -4 + -6n Reorder the terms: 4 + -4 + 20a + -8n = -14 + -4 + -6n Combine like terms: 4 + -4 = 0 0 + 20a + -8n = -14 + -4 + -6n 20a + -8n = -14 + -4 + -6n Combine like terms: -14 + -4 = -18 20a + -8n = -18 + -6n Add '8n' to each side of the equation. 20a + -8n + 8n = -18 + -6n + 8n Combine like terms: -8n + 8n = 0 20a + 0 = -18 + -6n + 8n 20a = -18 + -6n + 8n Combine like terms: -6n + 8n = 2n 20a = -18 + 2n Divide each side by '20'. a = -0.9 + 0.1n Simplifying a = -0.9 + 0.1n
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