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Simplifying 45 = 0.13n + 0.12(n + -500) Reorder the terms: 45 = 0.13n + 0.12(-500 + n) 45 = 0.13n + (-500 * 0.12 + n * 0.12) 45 = 0.13n + (-60 + 0.12n) Reorder the terms: 45 = -60 + 0.13n + 0.12n Combine like terms: 0.13n + 0.12n = 0.25n 45 = -60 + 0.25n Solving 45 = -60 + 0.25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.25n' to each side of the equation. 45 + -0.25n = -60 + 0.25n + -0.25n Combine like terms: 0.25n + -0.25n = 0.00 45 + -0.25n = -60 + 0.00 45 + -0.25n = -60 Add '-45' to each side of the equation. 45 + -45 + -0.25n = -60 + -45 Combine like terms: 45 + -45 = 0 0 + -0.25n = -60 + -45 -0.25n = -60 + -45 Combine like terms: -60 + -45 = -105 -0.25n = -105 Divide each side by '-0.25'. n = 420 Simplifying n = 420
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