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Simplifying 4n + -32 = 8(n + -8) Reorder the terms: -32 + 4n = 8(n + -8) Reorder the terms: -32 + 4n = 8(-8 + n) -32 + 4n = (-8 * 8 + n * 8) -32 + 4n = (-64 + 8n) Solving -32 + 4n = -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 + 4n + -8n = -64 + 8n + -8n Combine like terms: 4n + -8n = -4n -32 + -4n = -64 + 8n + -8n Combine like terms: 8n + -8n = 0 -32 + -4n = -64 + 0 -32 + -4n = -64 Add '32' to each side of the equation. -32 + 32 + -4n = -64 + 32 Combine like terms: -32 + 32 = 0 0 + -4n = -64 + 32 -4n = -64 + 32 Combine like terms: -64 + 32 = -32 -4n = -32 Divide each side by '-4'. n = 8 Simplifying n = 8
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