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Simplifying -2 + 2(n + 4) = (1 + 5n) Reorder the terms: -2 + 2(4 + n) = (1 + 5n) -2 + (4 * 2 + n * 2) = (1 + 5n) -2 + (8 + 2n) = (1 + 5n) Combine like terms: -2 + 8 = 6 6 + 2n = (1 + 5n) Remove parenthesis around (1 + 5n) 6 + 2n = 1 + 5n Solving 6 + 2n = 1 + 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. 6 + 2n + -5n = 1 + 5n + -5n Combine like terms: 2n + -5n = -3n 6 + -3n = 1 + 5n + -5n Combine like terms: 5n + -5n = 0 6 + -3n = 1 + 0 6 + -3n = 1 Add '-6' to each side of the equation. 6 + -6 + -3n = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -3n = 1 + -6 -3n = 1 + -6 Combine like terms: 1 + -6 = -5 -3n = -5 Divide each side by '-3'. n = 1.666666667 Simplifying n = 1.666666667
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