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Simplifying 5(w + -6) + 2w = 0 Reorder the terms: 5(-6 + w) + 2w = 0 (-6 * 5 + w * 5) + 2w = 0 (-30 + 5w) + 2w = 0 Combine like terms: 5w + 2w = 7w -30 + 7w = 0 Solving -30 + 7w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 7w = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 7w = 0 + 30 7w = 0 + 30 Combine like terms: 0 + 30 = 30 7w = 30 Divide each side by '7'. w = 4.285714286 Simplifying w = 4.285714286
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