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Simplifying 2w + -8 = -2w + 24 Reorder the terms: -8 + 2w = -2w + 24 Reorder the terms: -8 + 2w = 24 + -2w Solving -8 + 2w = 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 + 2w + 2w = 24 + -2w + 2w Combine like terms: 2w + 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 = 32 4w = 32 Divide each side by '4'. w = 8 Simplifying w = 8
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