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Simplifying 3(4 + n) = 1.2n + -8 (4 * 3 + n * 3) = 1.2n + -8 (12 + 3n) = 1.2n + -8 Reorder the terms: 12 + 3n = -8 + 1.2n Solving 12 + 3n = -8 + 1.2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.2n' to each side of the equation. 12 + 3n + -1.2n = -8 + 1.2n + -1.2n Combine like terms: 3n + -1.2n = 1.8n 12 + 1.8n = -8 + 1.2n + -1.2n Combine like terms: 1.2n + -1.2n = 0.0 12 + 1.8n = -8 + 0.0 12 + 1.8n = -8 Add '-12' to each side of the equation. 12 + -12 + 1.8n = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 1.8n = -8 + -12 1.8n = -8 + -12 Combine like terms: -8 + -12 = -20 1.8n = -20 Divide each side by '1.8'. n = -11.11111111 Simplifying n = -11.11111111
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