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Simplifying 8n + 288.5 = 12n + 193.5 Reorder the terms: 288.5 + 8n = 12n + 193.5 Reorder the terms: 288.5 + 8n = 193.5 + 12n Solving 288.5 + 8n = 193.5 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 288.5 + 8n + -12n = 193.5 + 12n + -12n Combine like terms: 8n + -12n = -4n 288.5 + -4n = 193.5 + 12n + -12n Combine like terms: 12n + -12n = 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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