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Simplifying 5(n + 2) + -1(8) = 2n Reorder the terms: 5(2 + n) + -1(8) = 2n (2 * 5 + n * 5) + -1(8) = 2n (10 + 5n) + -1(8) = 2n Multiply -1 * 8 10 + 5n + -8 = 2n Reorder the terms: 10 + -8 + 5n = 2n Combine like terms: 10 + -8 = 2 2 + 5n = 2n Solving 2 + 5n = 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 2 + 5n + -2n = 2n + -2n Combine like terms: 5n + -2n = 3n 2 + 3n = 2n + -2n Combine like terms: 2n + -2n = 0 2 + 3n = 0 Add '-2' to each side of the equation. 2 + -2 + 3n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3n = 0 + -2 3n = 0 + -2 Combine like terms: 0 + -2 = -2 3n = -2 Divide each side by '3'. n = -0.6666666667 Simplifying n = -0.6666666667
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