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Simplifying -2 + 2(n + 4) = -1(1 + 5n) Reorder the terms: -2 + 2(4 + n) = -1(1 + 5n) -2 + (4 * 2 + n * 2) = -1(1 + 5n) -2 + (8 + 2n) = -1(1 + 5n) Combine like terms: -2 + 8 = 6 6 + 2n = -1(1 + 5n) 6 + 2n = (1 * -1 + 5n * -1) 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 = 7n 6 + 7n = -1 + -5n + 5n Combine like terms: -5n + 5n = 0 6 + 7n = -1 + 0 6 + 7n = -1 Add '-6' to each side of the equation. 6 + -6 + 7n = -1 + -6 Combine like terms: 6 + -6 = 0 0 + 7n = -1 + -6 7n = -1 + -6 Combine like terms: -1 + -6 = -7 7n = -7 Divide each side by '7'. n = -1 Simplifying n = -1
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