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Simplifying 8 + 2n = 10 + -1(5n) Remove parenthesis around (5n) 8 + 2n = 10 + -1 * 5n Multiply -1 * 5 8 + 2n = 10 + -5n Solving 8 + 2n = 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 + 2n + 5n = 10 + -5n + 5n Combine like terms: 2n + 5n = 7n 8 + 7n = 10 + -5n + 5n Combine like terms: -5n + 5n = 0 8 + 7n = 10 + 0 8 + 7n = 10 Add '-8' to each side of the equation. 8 + -8 + 7n = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 7n = 10 + -8 7n = 10 + -8 Combine like terms: 10 + -8 = 2 7n = 2 Divide each side by '7'. n = 0.2857142857 Simplifying n = 0.2857142857
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