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Simplifying 8w + -3(5w + -8) = 0 Reorder the terms: 8w + -3(-8 + 5w) = 0 8w + (-8 * -3 + 5w * -3) = 0 8w + (24 + -15w) = 0 Reorder the terms: 24 + 8w + -15w = 0 Combine like terms: 8w + -15w = -7w 24 + -7w = 0 Solving 24 + -7w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -7w = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -7w = 0 + -24 -7w = 0 + -24 Combine like terms: 0 + -24 = -24 -7w = -24 Divide each side by '-7'. w = 3.428571429 Simplifying w = 3.428571429
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