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Simplifying -2(8n + -12) = 4n + -16 Reorder the terms: -2(-12 + 8n) = 4n + -16 (-12 * -2 + 8n * -2) = 4n + -16 (24 + -16n) = 4n + -16 Reorder the terms: 24 + -16n = -16 + 4n Solving 24 + -16n = -16 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 24 + -16n + -4n = -16 + 4n + -4n Combine like terms: -16n + -4n = -20n 24 + -20n = -16 + 4n + -4n Combine like terms: 4n + -4n = 0 24 + -20n = -16 + 0 24 + -20n = -16 Add '-24' to each side of the equation. 24 + -24 + -20n = -16 + -24 Combine like terms: 24 + -24 = 0 0 + -20n = -16 + -24 -20n = -16 + -24 Combine like terms: -16 + -24 = -40 -20n = -40 Divide each side by '-20'. n = 2 Simplifying n = 2
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