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Simplifying 7w + 33 = 5w + 19 Reorder the terms: 33 + 7w = 5w + 19 Reorder the terms: 33 + 7w = 19 + 5w Solving 33 + 7w = 19 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 33 + 7w + -5w = 19 + 5w + -5w Combine like terms: 7w + -5w = 2w 33 + 2w = 19 + 5w + -5w Combine like terms: 5w + -5w = 0 33 + 2w = 19 + 0 33 + 2w = 19 Add '-33' to each side of the equation. 33 + -33 + 2w = 19 + -33 Combine like terms: 33 + -33 = 0 0 + 2w = 19 + -33 2w = 19 + -33 Combine like terms: 19 + -33 = -14 2w = -14 Divide each side by '2'. w = -7 Simplifying w = -7
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