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Simplifying 2 + -4(-4 + -8n) = -2n + -16 2 + (-4 * -4 + -8n * -4) = -2n + -16 2 + (16 + 32n) = -2n + -16 Combine like terms: 2 + 16 = 18 18 + 32n = -2n + -16 Reorder the terms: 18 + 32n = -16 + -2n Solving 18 + 32n = -16 + -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. 18 + 32n + 2n = -16 + -2n + 2n Combine like terms: 32n + 2n = 34n 18 + 34n = -16 + -2n + 2n Combine like terms: -2n + 2n = 0 18 + 34n = -16 + 0 18 + 34n = -16 Add '-18' to each side of the equation. 18 + -18 + 34n = -16 + -18 Combine like terms: 18 + -18 = 0 0 + 34n = -16 + -18 34n = -16 + -18 Combine like terms: -16 + -18 = -34 34n = -34 Divide each side by '34'. n = -1 Simplifying n = -1
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