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Simplifying 2w + 74 = 3w + 41 Reorder the terms: 74 + 2w = 3w + 41 Reorder the terms: 74 + 2w = 41 + 3w Solving 74 + 2w = 41 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 74 + 2w + -3w = 41 + 3w + -3w Combine like terms: 2w + -3w = -1w 74 + -1w = 41 + 3w + -3w Combine like terms: 3w + -3w = 0 74 + -1w = 41 + 0 74 + -1w = 41 Add '-74' to each side of the equation. 74 + -74 + -1w = 41 + -74 Combine like terms: 74 + -74 = 0 0 + -1w = 41 + -74 -1w = 41 + -74 Combine like terms: 41 + -74 = -33 -1w = -33 Divide each side by '-1'. w = 33 Simplifying w = 33
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