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Simplifying 0.25(50) + 0.25n = 0.10(50 + n) Multiply 0.25 * 50 12.5 + 0.25n = 0.10(50 + n) 12.5 + 0.25n = (50 * 0.10 + n * 0.10) 12.5 + 0.25n = (5 + 0.10n) Solving 12.5 + 0.25n = 5 + 0.10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.10n' to each side of the equation. 12.5 + 0.25n + -0.10n = 5 + 0.10n + -0.10n Combine like terms: 0.25n + -0.10n = 0.15n 12.5 + 0.15n = 5 + 0.10n + -0.10n Combine like terms: 0.10n + -0.10n = 0.00 12.5 + 0.15n = 5 + 0.00 12.5 + 0.15n = 5 Add '-12.5' to each side of the equation. 12.5 + -12.5 + 0.15n = 5 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + 0.15n = 5 + -12.5 0.15n = 5 + -12.5 Combine like terms: 5 + -12.5 = -7.5 0.15n = -7.5 Divide each side by '0.15'. n = -50 Simplifying n = -50
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