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Simplifying -8n + -8(n + 4) = 4(8 + -3n) Reorder the terms: -8n + -8(4 + n) = 4(8 + -3n) -8n + (4 * -8 + n * -8) = 4(8 + -3n) -8n + (-32 + -8n) = 4(8 + -3n) Reorder the terms: -32 + -8n + -8n = 4(8 + -3n) Combine like terms: -8n + -8n = -16n -32 + -16n = 4(8 + -3n) -32 + -16n = (8 * 4 + -3n * 4) -32 + -16n = (32 + -12n) Solving -32 + -16n = 32 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -32 + -16n + 12n = 32 + -12n + 12n Combine like terms: -16n + 12n = -4n -32 + -4n = 32 + -12n + 12n Combine like terms: -12n + 12n = 0 -32 + -4n = 32 + 0 -32 + -4n = 32 Add '32' to each side of the equation. -32 + 32 + -4n = 32 + 32 Combine like terms: -32 + 32 = 0 0 + -4n = 32 + 32 -4n = 32 + 32 Combine like terms: 32 + 32 = 64 -4n = 64 Divide each side by '-4'. n = -16 Simplifying n = -16
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