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Simplifying 33 + 15w = 3w + -1w + 24 Reorder the terms: 33 + 15w = 24 + 3w + -1w Combine like terms: 3w + -1w = 2w 33 + 15w = 24 + 2w Solving 33 + 15w = 24 + 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. 33 + 15w + -2w = 24 + 2w + -2w Combine like terms: 15w + -2w = 13w 33 + 13w = 24 + 2w + -2w Combine like terms: 2w + -2w = 0 33 + 13w = 24 + 0 33 + 13w = 24 Add '-33' to each side of the equation. 33 + -33 + 13w = 24 + -33 Combine like terms: 33 + -33 = 0 0 + 13w = 24 + -33 13w = 24 + -33 Combine like terms: 24 + -33 = -9 13w = -9 Divide each side by '13'. w = -0.6923076923 Simplifying w = -0.6923076923
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