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Simplifying 38 + -7w = -11w + 4 Reorder the terms: 38 + -7w = 4 + -11w Solving 38 + -7w = 4 + -11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11w' to each side of the equation. 38 + -7w + 11w = 4 + -11w + 11w Combine like terms: -7w + 11w = 4w 38 + 4w = 4 + -11w + 11w Combine like terms: -11w + 11w = 0 38 + 4w = 4 + 0 38 + 4w = 4 Add '-38' to each side of the equation. 38 + -38 + 4w = 4 + -38 Combine like terms: 38 + -38 = 0 0 + 4w = 4 + -38 4w = 4 + -38 Combine like terms: 4 + -38 = -34 4w = -34 Divide each side by '4'. w = -8.5 Simplifying w = -8.5
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