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Simplifying 5w + -7w = 2w + 1 Combine like terms: 5w + -7w = -2w -2w = 2w + 1 Reorder the terms: -2w = 1 + 2w Solving -2w = 1 + 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. -2w + -2w = 1 + 2w + -2w Combine like terms: -2w + -2w = -4w -4w = 1 + 2w + -2w Combine like terms: 2w + -2w = 0 -4w = 1 + 0 -4w = 1 Divide each side by '-4'. w = -0.25 Simplifying w = -0.25
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