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Simplifying 7w + 4(1 + 6w) = 0 7w + (1 * 4 + 6w * 4) = 0 7w + (4 + 24w) = 0 Reorder the terms: 4 + 7w + 24w = 0 Combine like terms: 7w + 24w = 31w 4 + 31w = 0 Solving 4 + 31w = 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 + 31w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 31w = 0 + -4 31w = 0 + -4 Combine like terms: 0 + -4 = -4 31w = -4 Divide each side by '31'. w = -0.1290322581 Simplifying w = -0.1290322581
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