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Simplifying 0.12n + 13.38 = 13.88 + 0.13n Reorder the terms: 13.38 + 0.12n = 13.88 + 0.13n Solving 13.38 + 0.12n = 13.88 + 0.13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.13n' to each side of the equation. 13.38 + 0.12n + -0.13n = 13.88 + 0.13n + -0.13n Combine like terms: 0.12n + -0.13n = -0.01n 13.38 + -0.01n = 13.88 + 0.13n + -0.13n Combine like terms: 0.13n + -0.13n = 0.00 13.38 + -0.01n = 13.88 + 0.00 13.38 + -0.01n = 13.88 Add '-13.38' to each side of the equation. 13.38 + -13.38 + -0.01n = 13.88 + -13.38 Combine like terms: 13.38 + -13.38 = 0.00 0.00 + -0.01n = 13.88 + -13.38 -0.01n = 13.88 + -13.38 Combine like terms: 13.88 + -13.38 = 0.5 -0.01n = 0.5 Divide each side by '-0.01'. n = -50 Simplifying n = -50
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