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Simplifying 2n + 4(n + 4) = 2(-1 + 2n) + -4 Reorder the terms: 2n + 4(4 + n) = 2(-1 + 2n) + -4 2n + (4 * 4 + n * 4) = 2(-1 + 2n) + -4 2n + (16 + 4n) = 2(-1 + 2n) + -4 Reorder the terms: 16 + 2n + 4n = 2(-1 + 2n) + -4 Combine like terms: 2n + 4n = 6n 16 + 6n = 2(-1 + 2n) + -4 16 + 6n = (-1 * 2 + 2n * 2) + -4 16 + 6n = (-2 + 4n) + -4 Reorder the terms: 16 + 6n = -2 + -4 + 4n Combine like terms: -2 + -4 = -6 16 + 6n = -6 + 4n Solving 16 + 6n = -6 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 16 + 6n + -4n = -6 + 4n + -4n Combine like terms: 6n + -4n = 2n 16 + 2n = -6 + 4n + -4n Combine like terms: 4n + -4n = 0 16 + 2n = -6 + 0 16 + 2n = -6 Add '-16' to each side of the equation. 16 + -16 + 2n = -6 + -16 Combine like terms: 16 + -16 = 0 0 + 2n = -6 + -16 2n = -6 + -16 Combine like terms: -6 + -16 = -22 2n = -22 Divide each side by '2'. n = -11 Simplifying n = -11
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