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Simplifying 32 + -5n = -8(n + -1) Reorder the terms: 32 + -5n = -8(-1 + n) 32 + -5n = (-1 * -8 + n * -8) 32 + -5n = (8 + -8n) Solving 32 + -5n = 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 + -5n + 8n = 8 + -8n + 8n Combine like terms: -5n + 8n = 3n 32 + 3n = 8 + -8n + 8n Combine like terms: -8n + 8n = 0 32 + 3n = 8 + 0 32 + 3n = 8 Add '-32' to each side of the equation. 32 + -32 + 3n = 8 + -32 Combine like terms: 32 + -32 = 0 0 + 3n = 8 + -32 3n = 8 + -32 Combine like terms: 8 + -32 = -24 3n = -24 Divide each side by '3'. n = -8 Simplifying n = -8
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