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Simplifying 10 = 0.83(n + 6) Reorder the terms: 10 = 0.83(6 + n) 10 = (6 * 0.83 + n * 0.83) 10 = (4.98 + 0.83n) Solving 10 = 4.98 + 0.83n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.83n' to each side of the equation. 10 + -0.83n = 4.98 + 0.83n + -0.83n Combine like terms: 0.83n + -0.83n = 0.00 10 + -0.83n = 4.98 + 0.00 10 + -0.83n = 4.98 Add '-10' to each side of the equation. 10 + -10 + -0.83n = 4.98 + -10 Combine like terms: 10 + -10 = 0 0 + -0.83n = 4.98 + -10 -0.83n = 4.98 + -10 Combine like terms: 4.98 + -10 = -5.02 -0.83n = -5.02 Divide each side by '-0.83'. n = 6.048192771 Simplifying n = 6.048192771
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