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Simplifying 3w + -2 = w + 8 Reorder the terms: -2 + 3w = w + 8 Reorder the terms: -2 + 3w = 8 + w Solving -2 + 3w = 8 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -2 + 3w + -1w = 8 + w + -1w Combine like terms: 3w + -1w = 2w -2 + 2w = 8 + w + -1w Combine like terms: w + -1w = 0 -2 + 2w = 8 + 0 -2 + 2w = 8 Add '2' to each side of the equation. -2 + 2 + 2w = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 2w = 8 + 2 2w = 8 + 2 Combine like terms: 8 + 2 = 10 2w = 10 Divide each side by '2'. w = 5 Simplifying w = 5
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