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Simplifying 3w + -1 + -4w = 4 + -2w Reorder the terms: -1 + 3w + -4w = 4 + -2w Combine like terms: 3w + -4w = -1w -1 + -1w = 4 + -2w Solving -1 + -1w = 4 + -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. -1 + -1w + 2w = 4 + -2w + 2w Combine like terms: -1w + 2w = 1w -1 + 1w = 4 + -2w + 2w Combine like terms: -2w + 2w = 0 -1 + 1w = 4 + 0 -1 + 1w = 4 Add '1' to each side of the equation. -1 + 1 + 1w = 4 + 1 Combine like terms: -1 + 1 = 0 0 + 1w = 4 + 1 1w = 4 + 1 Combine like terms: 4 + 1 = 5 1w = 5 Divide each side by '1'. w = 5 Simplifying w = 5
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