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Simplifying 3.2n + 12 = 5n Reorder the terms: 12 + 3.2n = 5n Solving 12 + 3.2n = 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 12 + 3.2n + -5n = 5n + -5n Combine like terms: 3.2n + -5n = -1.8n 12 + -1.8n = 5n + -5n Combine like terms: 5n + -5n = 0 12 + -1.8n = 0 Add '-12' to each side of the equation. 12 + -12 + -1.8n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1.8n = 0 + -12 -1.8n = 0 + -12 Combine like terms: 0 + -12 = -12 -1.8n = -12 Divide each side by '-1.8'. n = 6.666666667 Simplifying n = 6.666666667
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