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Simplifying -8(n + 4) = -3(n + 4) Reorder the terms: -8(4 + n) = -3(n + 4) (4 * -8 + n * -8) = -3(n + 4) (-32 + -8n) = -3(n + 4) Reorder the terms: -32 + -8n = -3(4 + n) -32 + -8n = (4 * -3 + n * -3) -32 + -8n = (-12 + -3n) Solving -32 + -8n = -12 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -32 + -8n + 3n = -12 + -3n + 3n Combine like terms: -8n + 3n = -5n -32 + -5n = -12 + -3n + 3n Combine like terms: -3n + 3n = 0 -32 + -5n = -12 + 0 -32 + -5n = -12 Add '32' to each side of the equation. -32 + 32 + -5n = -12 + 32 Combine like terms: -32 + 32 = 0 0 + -5n = -12 + 32 -5n = -12 + 32 Combine like terms: -12 + 32 = 20 -5n = 20 Divide each side by '-5'. n = -4 Simplifying n = -4
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