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Simplifying 10n + 3 = 7n + 5 Reorder the terms: 3 + 10n = 7n + 5 Reorder the terms: 3 + 10n = 5 + 7n Solving 3 + 10n = 5 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 3 + 10n + -7n = 5 + 7n + -7n Combine like terms: 10n + -7n = 3n 3 + 3n = 5 + 7n + -7n Combine like terms: 7n + -7n = 0 3 + 3n = 5 + 0 3 + 3n = 5 Add '-3' to each side of the equation. 3 + -3 + 3n = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 3n = 5 + -3 3n = 5 + -3 Combine like terms: 5 + -3 = 2 3n = 2 Divide each side by '3'. n = 0.6666666667 Simplifying n = 0.6666666667
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