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Simplifying -2(6 + -4n) + 4n = -36 + 8n (6 * -2 + -4n * -2) + 4n = -36 + 8n (-12 + 8n) + 4n = -36 + 8n Combine like terms: 8n + 4n = 12n -12 + 12n = -36 + 8n Solving -12 + 12n = -36 + 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. -12 + 12n + -8n = -36 + 8n + -8n Combine like terms: 12n + -8n = 4n -12 + 4n = -36 + 8n + -8n Combine like terms: 8n + -8n = 0 -12 + 4n = -36 + 0 -12 + 4n = -36 Add '12' to each side of the equation. -12 + 12 + 4n = -36 + 12 Combine like terms: -12 + 12 = 0 0 + 4n = -36 + 12 4n = -36 + 12 Combine like terms: -36 + 12 = -24 4n = -24 Divide each side by '4'. n = -6 Simplifying n = -6
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