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Simplifying 0.625n + 5 = 0.875n + 7 Reorder the terms: 5 + 0.625n = 0.875n + 7 Reorder the terms: 5 + 0.625n = 7 + 0.875n Solving 5 + 0.625n = 7 + 0.875n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.875n' to each side of the equation. 5 + 0.625n + -0.875n = 7 + 0.875n + -0.875n Combine like terms: 0.625n + -0.875n = -0.25n 5 + -0.25n = 7 + 0.875n + -0.875n Combine like terms: 0.875n + -0.875n = 0.000 5 + -0.25n = 7 + 0.000 5 + -0.25n = 7 Add '-5' to each side of the equation. 5 + -5 + -0.25n = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -0.25n = 7 + -5 -0.25n = 7 + -5 Combine like terms: 7 + -5 = 2 -0.25n = 2 Divide each side by '-0.25'. n = -8 Simplifying n = -8
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