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Simplifying 5w + 4 + -1w = 5w + -2(w + -2) Reorder the terms: 4 + 5w + -1w = 5w + -2(w + -2) Combine like terms: 5w + -1w = 4w 4 + 4w = 5w + -2(w + -2) Reorder the terms: 4 + 4w = 5w + -2(-2 + w) 4 + 4w = 5w + (-2 * -2 + w * -2) 4 + 4w = 5w + (4 + -2w) Reorder the terms: 4 + 4w = 4 + 5w + -2w Combine like terms: 5w + -2w = 3w 4 + 4w = 4 + 3w Add '-4' to each side of the equation. 4 + -4 + 4w = 4 + -4 + 3w Combine like terms: 4 + -4 = 0 0 + 4w = 4 + -4 + 3w 4w = 4 + -4 + 3w Combine like terms: 4 + -4 = 0 4w = 0 + 3w 4w = 3w Solving 4w = 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 4w + -3w = 3w + -3w Combine like terms: 4w + -3w = 1w 1w = 3w + -3w Combine like terms: 3w + -3w = 0 1w = 0 Divide each side by '1'. w = 0 Simplifying w = 0
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