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Simplifying 10w + 74 = 2w + 46 Reorder the terms: 74 + 10w = 2w + 46 Reorder the terms: 74 + 10w = 46 + 2w Solving 74 + 10w = 46 + 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. 74 + 10w + -2w = 46 + 2w + -2w Combine like terms: 10w + -2w = 8w 74 + 8w = 46 + 2w + -2w Combine like terms: 2w + -2w = 0 74 + 8w = 46 + 0 74 + 8w = 46 Add '-74' to each side of the equation. 74 + -74 + 8w = 46 + -74 Combine like terms: 74 + -74 = 0 0 + 8w = 46 + -74 8w = 46 + -74 Combine like terms: 46 + -74 = -28 8w = -28 Divide each side by '8'. w = -3.5 Simplifying w = -3.5
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