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Simplifying 38 = 6w + -7w + -27 Reorder the terms: 38 = -27 + 6w + -7w Combine like terms: 6w + -7w = -1w 38 = -27 + -1w Solving 38 = -27 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 38 + w = -27 + -1w + w Combine like terms: -1w + w = 0 38 + w = -27 + 0 38 + w = -27 Add '-38' to each side of the equation. 38 + -38 + w = -27 + -38 Combine like terms: 38 + -38 = 0 0 + w = -27 + -38 w = -27 + -38 Combine like terms: -27 + -38 = -65 w = -65 Simplifying w = -65
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