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Simplifying 2w + -4 = 7 + -7w + 4w Reorder the terms: -4 + 2w = 7 + -7w + 4w Combine like terms: -7w + 4w = -3w -4 + 2w = 7 + -3w Solving -4 + 2w = 7 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -4 + 2w + 3w = 7 + -3w + 3w Combine like terms: 2w + 3w = 5w -4 + 5w = 7 + -3w + 3w Combine like terms: -3w + 3w = 0 -4 + 5w = 7 + 0 -4 + 5w = 7 Add '4' to each side of the equation. -4 + 4 + 5w = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 5w = 7 + 4 5w = 7 + 4 Combine like terms: 7 + 4 = 11 5w = 11 Divide each side by '5'. w = 2.2 Simplifying w = 2.2
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