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Simplifying 33 + 15w = 3w + -1 + 4w Reorder the terms: 33 + 15w = -1 + 3w + 4w Combine like terms: 3w + 4w = 7w 33 + 15w = -1 + 7w Solving 33 + 15w = -1 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 33 + 15w + -7w = -1 + 7w + -7w Combine like terms: 15w + -7w = 8w 33 + 8w = -1 + 7w + -7w Combine like terms: 7w + -7w = 0 33 + 8w = -1 + 0 33 + 8w = -1 Add '-33' to each side of the equation. 33 + -33 + 8w = -1 + -33 Combine like terms: 33 + -33 = 0 0 + 8w = -1 + -33 8w = -1 + -33 Combine like terms: -1 + -33 = -34 8w = -34 Divide each side by '8'. w = -4.25 Simplifying w = -4.25
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