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Simplifying 8n + -16 = -4(n + -8) Reorder the terms: -16 + 8n = -4(n + -8) Reorder the terms: -16 + 8n = -4(-8 + n) -16 + 8n = (-8 * -4 + n * -4) -16 + 8n = (32 + -4n) Solving -16 + 8n = 32 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -16 + 8n + 4n = 32 + -4n + 4n Combine like terms: 8n + 4n = 12n -16 + 12n = 32 + -4n + 4n Combine like terms: -4n + 4n = 0 -16 + 12n = 32 + 0 -16 + 12n = 32 Add '16' to each side of the equation. -16 + 16 + 12n = 32 + 16 Combine like terms: -16 + 16 = 0 0 + 12n = 32 + 16 12n = 32 + 16 Combine like terms: 32 + 16 = 48 12n = 48 Divide each side by '12'. n = 4 Simplifying n = 4
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