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Simplifying 32 + 4n = 2(4n + 8) Reorder the terms: 32 + 4n = 2(8 + 4n) 32 + 4n = (8 * 2 + 4n * 2) 32 + 4n = (16 + 8n) Solving 32 + 4n = 16 + 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. 32 + 4n + -8n = 16 + 8n + -8n Combine like terms: 4n + -8n = -4n 32 + -4n = 16 + 8n + -8n Combine like terms: 8n + -8n = 0 32 + -4n = 16 + 0 32 + -4n = 16 Add '-32' to each side of the equation. 32 + -32 + -4n = 16 + -32 Combine like terms: 32 + -32 = 0 0 + -4n = 16 + -32 -4n = 16 + -32 Combine like terms: 16 + -32 = -16 -4n = -16 Divide each side by '-4'. n = 4 Simplifying n = 4
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