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Simplifying 12(n + -1) = 6n + 4 + 2n Reorder the terms: 12(-1 + n) = 6n + 4 + 2n (-1 * 12 + n * 12) = 6n + 4 + 2n (-12 + 12n) = 6n + 4 + 2n Reorder the terms: -12 + 12n = 4 + 6n + 2n Combine like terms: 6n + 2n = 8n -12 + 12n = 4 + 8n Solving -12 + 12n = 4 + 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 = 4 + 8n + -8n Combine like terms: 12n + -8n = 4n -12 + 4n = 4 + 8n + -8n Combine like terms: 8n + -8n = 0 -12 + 4n = 4 + 0 -12 + 4n = 4 Add '12' to each side of the equation. -12 + 12 + 4n = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 4n = 4 + 12 4n = 4 + 12 Combine like terms: 4 + 12 = 16 4n = 16 Divide each side by '4'. n = 4 Simplifying n = 4
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