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Simplifying 38 = 2w + 54 Reorder the terms: 38 = 54 + 2w Solving 38 = 54 + 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. 38 + -2w = 54 + 2w + -2w Combine like terms: 2w + -2w = 0 38 + -2w = 54 + 0 38 + -2w = 54 Add '-38' to each side of the equation. 38 + -38 + -2w = 54 + -38 Combine like terms: 38 + -38 = 0 0 + -2w = 54 + -38 -2w = 54 + -38 Combine like terms: 54 + -38 = 16 -2w = 16 Divide each side by '-2'. w = -8 Simplifying w = -8
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