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Simplifying -6 + 2(4n + 6) = -8 * 8n Reorder the terms: -6 + 2(6 + 4n) = -8 * 8n -6 + (6 * 2 + 4n * 2) = -8 * 8n -6 + (12 + 8n) = -8 * 8n Combine like terms: -6 + 12 = 6 6 + 8n = -8 * 8n Multiply -8 * 8 6 + 8n = -64n Solving 6 + 8n = -64n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '64n' to each side of the equation. 6 + 8n + 64n = -64n + 64n Combine like terms: 8n + 64n = 72n 6 + 72n = -64n + 64n Combine like terms: -64n + 64n = 0 6 + 72n = 0 Add '-6' to each side of the equation. 6 + -6 + 72n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 72n = 0 + -6 72n = 0 + -6 Combine like terms: 0 + -6 = -6 72n = -6 Divide each side by '72'. n = -0.08333333333 Simplifying n = -0.08333333333
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