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Simplifying 32 + 8n = -8(n + -8) Reorder the terms: 32 + 8n = -8(-8 + n) 32 + 8n = (-8 * -8 + n * -8) 32 + 8n = (64 + -8n) Solving 32 + 8n = 64 + -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 + 8n + 8n = 64 + -8n + 8n Combine like terms: 8n + 8n = 16n 32 + 16n = 64 + -8n + 8n Combine like terms: -8n + 8n = 0 32 + 16n = 64 + 0 32 + 16n = 64 Add '-32' to each side of the equation. 32 + -32 + 16n = 64 + -32 Combine like terms: 32 + -32 = 0 0 + 16n = 64 + -32 16n = 64 + -32 Combine like terms: 64 + -32 = 32 16n = 32 Divide each side by '16'. n = 2 Simplifying n = 2
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