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Simplifying 4w + -1 = 2w + 5 Reorder the terms: -1 + 4w = 2w + 5 Reorder the terms: -1 + 4w = 5 + 2w Solving -1 + 4w = 5 + 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 + 4w + -2w = 5 + 2w + -2w Combine like terms: 4w + -2w = 2w -1 + 2w = 5 + 2w + -2w Combine like terms: 2w + -2w = 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 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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