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Simplifying 8(7n + 8) = -32 + 8n Reorder the terms: 8(8 + 7n) = -32 + 8n (8 * 8 + 7n * 8) = -32 + 8n (64 + 56n) = -32 + 8n Solving 64 + 56n = -32 + 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. 64 + 56n + -8n = -32 + 8n + -8n Combine like terms: 56n + -8n = 48n 64 + 48n = -32 + 8n + -8n Combine like terms: 8n + -8n = 0 64 + 48n = -32 + 0 64 + 48n = -32 Add '-64' to each side of the equation. 64 + -64 + 48n = -32 + -64 Combine like terms: 64 + -64 = 0 0 + 48n = -32 + -64 48n = -32 + -64 Combine like terms: -32 + -64 = -96 48n = -96 Divide each side by '48'. n = -2 Simplifying n = -2
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