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Simplifying 2w + -1 = -5w + 19 Reorder the terms: -1 + 2w = -5w + 19 Reorder the terms: -1 + 2w = 19 + -5w Solving -1 + 2w = 19 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -1 + 2w + 5w = 19 + -5w + 5w Combine like terms: 2w + 5w = 7w -1 + 7w = 19 + -5w + 5w Combine like terms: -5w + 5w = 0 -1 + 7w = 19 + 0 -1 + 7w = 19 Add '1' to each side of the equation. -1 + 1 + 7w = 19 + 1 Combine like terms: -1 + 1 = 0 0 + 7w = 19 + 1 7w = 19 + 1 Combine like terms: 19 + 1 = 20 7w = 20 Divide each side by '7'. w = 2.857142857 Simplifying w = 2.857142857
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