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Simplifying -4(n + 8) = 8n + 2(-4 + -6) Reorder the terms: -4(8 + n) = 8n + 2(-4 + -6) (8 * -4 + n * -4) = 8n + 2(-4 + -6) (-32 + -4n) = 8n + 2(-4 + -6) Combine like terms: -4 + -6 = -10 -32 + -4n = 8n + 2(-10) Multiply 2 * -10 -32 + -4n = 8n + -20 Reorder the terms: -32 + -4n = -20 + 8n Solving -32 + -4n = -20 + 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 = -20 + 8n + -8n Combine like terms: -4n + -8n = -12n -32 + -12n = -20 + 8n + -8n Combine like terms: 8n + -8n = 0 -32 + -12n = -20 + 0 -32 + -12n = -20 Add '32' to each side of the equation. -32 + 32 + -12n = -20 + 32 Combine like terms: -32 + 32 = 0 0 + -12n = -20 + 32 -12n = -20 + 32 Combine like terms: -20 + 32 = 12 -12n = 12 Divide each side by '-12'. n = -1 Simplifying n = -1
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