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Simplifying 8(2 + -1n) + 8(6 + -3n) = 32 (2 * 8 + -1n * 8) + 8(6 + -3n) = 32 (16 + -8n) + 8(6 + -3n) = 32 16 + -8n + (6 * 8 + -3n * 8) = 32 16 + -8n + (48 + -24n) = 32 Reorder the terms: 16 + 48 + -8n + -24n = 32 Combine like terms: 16 + 48 = 64 64 + -8n + -24n = 32 Combine like terms: -8n + -24n = -32n 64 + -32n = 32 Solving 64 + -32n = 32 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + -32n = 32 + -64 Combine like terms: 64 + -64 = 0 0 + -32n = 32 + -64 -32n = 32 + -64 Combine like terms: 32 + -64 = -32 -32n = -32 Divide each side by '-32'. n = 1 Simplifying n = 1
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