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Simplifying 7w + -15 + -5w = 43 Reorder the terms: -15 + 7w + -5w = 43 Combine like terms: 7w + -5w = 2w -15 + 2w = 43 Solving -15 + 2w = 43 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 2w = 43 + 15 Combine like terms: -15 + 15 = 0 0 + 2w = 43 + 15 2w = 43 + 15 Combine like terms: 43 + 15 = 58 2w = 58 Divide each side by '2'. w = 29 Simplifying w = 29
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