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Simplifying 6w + 38 = 2w Reorder the terms: 38 + 6w = 2w Solving 38 + 6w = 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 + 6w + -2w = 2w + -2w Combine like terms: 6w + -2w = 4w 38 + 4w = 2w + -2w Combine like terms: 2w + -2w = 0 38 + 4w = 0 Add '-38' to each side of the equation. 38 + -38 + 4w = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 4w = 0 + -38 4w = 0 + -38 Combine like terms: 0 + -38 = -38 4w = -38 Divide each side by '4'. w = -9.5 Simplifying w = -9.5
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