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Simplifying 8 + 7n = 10 + -5n Solving 8 + 7n = 10 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 8 + 7n + 5n = 10 + -5n + 5n Combine like terms: 7n + 5n = 12n 8 + 12n = 10 + -5n + 5n Combine like terms: -5n + 5n = 0 8 + 12n = 10 + 0 8 + 12n = 10 Add '-8' to each side of the equation. 8 + -8 + 12n = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 12n = 10 + -8 12n = 10 + -8 Combine like terms: 10 + -8 = 2 12n = 2 Divide each side by '12'. n = 0.1666666667 Simplifying n = 0.1666666667
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