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Simplifying 8w + 4(7w + 1) = 0 Reorder the terms: 8w + 4(1 + 7w) = 0 8w + (1 * 4 + 7w * 4) = 0 8w + (4 + 28w) = 0 Reorder the terms: 4 + 8w + 28w = 0 Combine like terms: 8w + 28w = 36w 4 + 36w = 0 Solving 4 + 36w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 36w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 36w = 0 + -4 36w = 0 + -4 Combine like terms: 0 + -4 = -4 36w = -4 Divide each side by '36'. w = -0.1111111111 Simplifying w = -0.1111111111
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