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Simplifying -32 + 3n = 2(4n + 4) Reorder the terms: -32 + 3n = 2(4 + 4n) -32 + 3n = (4 * 2 + 4n * 2) -32 + 3n = (8 + 8n) Solving -32 + 3n = 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. -32 + 3n + -8n = 8 + 8n + -8n Combine like terms: 3n + -8n = -5n -32 + -5n = 8 + 8n + -8n Combine like terms: 8n + -8n = 0 -32 + -5n = 8 + 0 -32 + -5n = 8 Add '32' to each side of the equation. -32 + 32 + -5n = 8 + 32 Combine like terms: -32 + 32 = 0 0 + -5n = 8 + 32 -5n = 8 + 32 Combine like terms: 8 + 32 = 40 -5n = 40 Divide each side by '-5'. n = -8 Simplifying n = -8
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