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Simplifying 12 = 8n + -4(6n + -2) Reorder the terms: 12 = 8n + -4(-2 + 6n) 12 = 8n + (-2 * -4 + 6n * -4) 12 = 8n + (8 + -24n) Reorder the terms: 12 = 8 + 8n + -24n Combine like terms: 8n + -24n = -16n 12 = 8 + -16n Solving 12 = 8 + -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. 12 + 16n = 8 + -16n + 16n Combine like terms: -16n + 16n = 0 12 + 16n = 8 + 0 12 + 16n = 8 Add '-12' to each side of the equation. 12 + -12 + 16n = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 16n = 8 + -12 16n = 8 + -12 Combine like terms: 8 + -12 = -4 16n = -4 Divide each side by '16'. n = -0.25 Simplifying n = -0.25
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