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Simplifying 8 + 6w = 2w + 24 Reorder the terms: 8 + 6w = 24 + 2w Solving 8 + 6w = 24 + 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. 8 + 6w + -2w = 24 + 2w + -2w Combine like terms: 6w + -2w = 4w 8 + 4w = 24 + 2w + -2w Combine like terms: 2w + -2w = 0 8 + 4w = 24 + 0 8 + 4w = 24 Add '-8' to each side of the equation. 8 + -8 + 4w = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 4w = 24 + -8 4w = 24 + -8 Combine like terms: 24 + -8 = 16 4w = 16 Divide each side by '4'. w = 4 Simplifying w = 4
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