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Simplifying -4 + 4(1 + 8n) = 2n + -30 -4 + (1 * 4 + 8n * 4) = 2n + -30 -4 + (4 + 32n) = 2n + -30 Combine like terms: -4 + 4 = 0 0 + 32n = 2n + -30 32n = 2n + -30 Reorder the terms: 32n = -30 + 2n Solving 32n = -30 + 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. 32n + -2n = -30 + 2n + -2n Combine like terms: 32n + -2n = 30n 30n = -30 + 2n + -2n Combine like terms: 2n + -2n = 0 30n = -30 + 0 30n = -30 Divide each side by '30'. n = -1 Simplifying n = -1
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