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Simplifying -8(n + 2) = -4(3n + -2) Reorder the terms: -8(2 + n) = -4(3n + -2) (2 * -8 + n * -8) = -4(3n + -2) (-16 + -8n) = -4(3n + -2) Reorder the terms: -16 + -8n = -4(-2 + 3n) -16 + -8n = (-2 * -4 + 3n * -4) -16 + -8n = (8 + -12n) Solving -16 + -8n = 8 + -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. -16 + -8n + 12n = 8 + -12n + 12n Combine like terms: -8n + 12n = 4n -16 + 4n = 8 + -12n + 12n Combine like terms: -12n + 12n = 0 -16 + 4n = 8 + 0 -16 + 4n = 8 Add '16' to each side of the equation. -16 + 16 + 4n = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 4n = 8 + 16 4n = 8 + 16 Combine like terms: 8 + 16 = 24 4n = 24 Divide each side by '4'. n = 6 Simplifying n = 6
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