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