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Simplifying 35w + 55 + -10w = 28w + 75 + -5w + 12 Reorder the terms: 55 + 35w + -10w = 28w + 75 + -5w + 12 Combine like terms: 35w + -10w = 25w 55 + 25w = 28w + 75 + -5w + 12 Reorder the terms: 55 + 25w = 75 + 12 + 28w + -5w Combine like terms: 75 + 12 = 87 55 + 25w = 87 + 28w + -5w Combine like terms: 28w + -5w = 23w 55 + 25w = 87 + 23w Solving 55 + 25w = 87 + 23w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-23w' to each side of the equation. 55 + 25w + -23w = 87 + 23w + -23w Combine like terms: 25w + -23w = 2w 55 + 2w = 87 + 23w + -23w Combine like terms: 23w + -23w = 0 55 + 2w = 87 + 0 55 + 2w = 87 Add '-55' to each side of the equation. 55 + -55 + 2w = 87 + -55 Combine like terms: 55 + -55 = 0 0 + 2w = 87 + -55 2w = 87 + -55 Combine like terms: 87 + -55 = 32 2w = 32 Divide each side by '2'. w = 16 Simplifying w = 16
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