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