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Simplifying 5w + 2(w + -6) = 0 Reorder the terms: 5w + 2(-6 + w) = 0 5w + (-6 * 2 + w * 2) = 0 5w + (-12 + 2w) = 0 Reorder the terms: -12 + 5w + 2w = 0 Combine like terms: 5w + 2w = 7w -12 + 7w = 0 Solving -12 + 7w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 7w = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 7w = 0 + 12 7w = 0 + 12 Combine like terms: 0 + 12 = 12 7w = 12 Divide each side by '7'. w = 1.714285714 Simplifying w = 1.714285714
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