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Simplifying 7(w + -5) + 3w = 0 Reorder the terms: 7(-5 + w) + 3w = 0 (-5 * 7 + w * 7) + 3w = 0 (-35 + 7w) + 3w = 0 Combine like terms: 7w + 3w = 10w -35 + 10w = 0 Solving -35 + 10w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 10w = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 10w = 0 + 35 10w = 0 + 35 Combine like terms: 0 + 35 = 35 10w = 35 Divide each side by '10'. w = 3.5 Simplifying w = 3.5
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