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Simplifying 3w + 8 = 8 + 2w + v Reorder the terms: 8 + 3w = 8 + 2w + v Reorder the terms: 8 + 3w = 8 + v + 2w Add '-8' to each side of the equation. 8 + -8 + 3w = 8 + v + -8 + 2w Combine like terms: 8 + -8 = 0 0 + 3w = 8 + v + -8 + 2w 3w = 8 + v + -8 + 2w Reorder the terms: 3w = 8 + -8 + v + 2w Combine like terms: 8 + -8 = 0 3w = 0 + v + 2w 3w = v + 2w Solving 3w = v + 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. 3w + -2w = v + 2w + -2w Combine like terms: 3w + -2w = 1w 1w = v + 2w + -2w Combine like terms: 2w + -2w = 0 1w = v + 0 1w = v Divide each side by '1'. w = v Simplifying w = v
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