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Simplifying -4(n + 2) = -8(n + -4) Reorder the terms: -4(2 + n) = -8(n + -4) (2 * -4 + n * -4) = -8(n + -4) (-8 + -4n) = -8(n + -4) Reorder the terms: -8 + -4n = -8(-4 + n) -8 + -4n = (-4 * -8 + n * -8) -8 + -4n = (32 + -8n) Solving -8 + -4n = 32 + -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. -8 + -4n + 8n = 32 + -8n + 8n Combine like terms: -4n + 8n = 4n -8 + 4n = 32 + -8n + 8n Combine like terms: -8n + 8n = 0 -8 + 4n = 32 + 0 -8 + 4n = 32 Add '8' to each side of the equation. -8 + 8 + 4n = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 4n = 32 + 8 4n = 32 + 8 Combine like terms: 32 + 8 = 40 4n = 40 Divide each side by '4'. n = 10 Simplifying n = 10
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