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Simplifying 3w = 4 + -1w + 5w + -2(w + -2) Reorder the terms: 3w = 4 + -1w + 5w + -2(-2 + w) 3w = 4 + -1w + 5w + (-2 * -2 + w * -2) 3w = 4 + -1w + 5w + (4 + -2w) Reorder the terms: 3w = 4 + 4 + -1w + 5w + -2w Combine like terms: 4 + 4 = 8 3w = 8 + -1w + 5w + -2w Combine like terms: -1w + 5w = 4w 3w = 8 + 4w + -2w Combine like terms: 4w + -2w = 2w 3w = 8 + 2w Solving 3w = 8 + 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 = 8 + 2w + -2w Combine like terms: 3w + -2w = 1w 1w = 8 + 2w + -2w Combine like terms: 2w + -2w = 0 1w = 8 + 0 1w = 8 Divide each side by '1'. w = 8 Simplifying w = 8
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