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Simplifying 12n + -288.5 = 8n + -193.5 Reorder the terms: -288.5 + 12n = 8n + -193.5 Reorder the terms: -288.5 + 12n = -193.5 + 8n Solving -288.5 + 12n = -193.5 + 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. -288.5 + 12n + -8n = -193.5 + 8n + -8n Combine like terms: 12n + -8n = 4n -288.5 + 4n = -193.5 + 8n + -8n Combine like terms: 8n + -8n = 0 -288.5 + 4n = -193.5 + 0 -288.5 + 4n = -193.5 Add '288.5' to each side of the equation. -288.5 + 288.5 + 4n = -193.5 + 288.5 Combine like terms: -288.5 + 288.5 = 0.0 0.0 + 4n = -193.5 + 288.5 4n = -193.5 + 288.5 Combine like terms: -193.5 + 288.5 = 95 4n = 95 Divide each side by '4'. n = 23.75 Simplifying n = 23.75
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