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Simplifying -3(8n + 8) = 8 + 8n Reorder the terms: -3(8 + 8n) = 8 + 8n (8 * -3 + 8n * -3) = 8 + 8n (-24 + -24n) = 8 + 8n Solving -24 + -24n = 8 + 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. -24 + -24n + -8n = 8 + 8n + -8n Combine like terms: -24n + -8n = -32n -24 + -32n = 8 + 8n + -8n Combine like terms: 8n + -8n = 0 -24 + -32n = 8 + 0 -24 + -32n = 8 Add '24' to each side of the equation. -24 + 24 + -32n = 8 + 24 Combine like terms: -24 + 24 = 0 0 + -32n = 8 + 24 -32n = 8 + 24 Combine like terms: 8 + 24 = 32 -32n = 32 Divide each side by '-32'. n = -1 Simplifying n = -1
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