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Simplifying 5w + -2 = 7 + -4w Reorder the terms: -2 + 5w = 7 + -4w Solving -2 + 5w = 7 + -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. -2 + 5w + 4w = 7 + -4w + 4w Combine like terms: 5w + 4w = 9w -2 + 9w = 7 + -4w + 4w Combine like terms: -4w + 4w = 0 -2 + 9w = 7 + 0 -2 + 9w = 7 Add '2' to each side of the equation. -2 + 2 + 9w = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 9w = 7 + 2 9w = 7 + 2 Combine like terms: 7 + 2 = 9 9w = 9 Divide each side by '9'. w = 1 Simplifying w = 1
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