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