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Simplifying 2w + -8 + 6w = 4w + 16 Reorder the terms: -8 + 2w + 6w = 4w + 16 Combine like terms: 2w + 6w = 8w -8 + 8w = 4w + 16 Reorder the terms: -8 + 8w = 16 + 4w Solving -8 + 8w = 16 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -8 + 8w + -4w = 16 + 4w + -4w Combine like terms: 8w + -4w = 4w -8 + 4w = 16 + 4w + -4w Combine like terms: 4w + -4w = 0 -8 + 4w = 16 + 0 -8 + 4w = 16 Add '8' to each side of the equation. -8 + 8 + 4w = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 4w = 16 + 8 4w = 16 + 8 Combine like terms: 16 + 8 = 24 4w = 24 Divide each side by '4'. w = 6 Simplifying w = 6
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