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Simplifying 8(4n + 4) = -4n + 4(5 + 8n) Reorder the terms: 8(4 + 4n) = -4n + 4(5 + 8n) (4 * 8 + 4n * 8) = -4n + 4(5 + 8n) (32 + 32n) = -4n + 4(5 + 8n) 32 + 32n = -4n + (5 * 4 + 8n * 4) 32 + 32n = -4n + (20 + 32n) Reorder the terms: 32 + 32n = 20 + -4n + 32n Combine like terms: -4n + 32n = 28n 32 + 32n = 20 + 28n Solving 32 + 32n = 20 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. 32 + 32n + -28n = 20 + 28n + -28n Combine like terms: 32n + -28n = 4n 32 + 4n = 20 + 28n + -28n Combine like terms: 28n + -28n = 0 32 + 4n = 20 + 0 32 + 4n = 20 Add '-32' to each side of the equation. 32 + -32 + 4n = 20 + -32 Combine like terms: 32 + -32 = 0 0 + 4n = 20 + -32 4n = 20 + -32 Combine like terms: 20 + -32 = -12 4n = -12 Divide each side by '4'. n = -3 Simplifying n = -3
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