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Simplifying 44 = 7w + -15 + -5w Reorder the terms: 44 = -15 + 7w + -5w Combine like terms: 7w + -5w = 2w 44 = -15 + 2w Solving 44 = -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. 44 + -2w = -15 + 2w + -2w Combine like terms: 2w + -2w = 0 44 + -2w = -15 + 0 44 + -2w = -15 Add '-44' to each side of the equation. 44 + -44 + -2w = -15 + -44 Combine like terms: 44 + -44 = 0 0 + -2w = -15 + -44 -2w = -15 + -44 Combine like terms: -15 + -44 = -59 -2w = -59 Divide each side by '-2'. w = 29.5 Simplifying w = 29.5
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