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Simplifying 7w + -4 = 5w + -8 Reorder the terms: -4 + 7w = 5w + -8 Reorder the terms: -4 + 7w = -8 + 5w Solving -4 + 7w = -8 + 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. -4 + 7w + -5w = -8 + 5w + -5w Combine like terms: 7w + -5w = 2w -4 + 2w = -8 + 5w + -5w Combine like terms: 5w + -5w = 0 -4 + 2w = -8 + 0 -4 + 2w = -8 Add '4' to each side of the equation. -4 + 4 + 2w = -8 + 4 Combine like terms: -4 + 4 = 0 0 + 2w = -8 + 4 2w = -8 + 4 Combine like terms: -8 + 4 = -4 2w = -4 Divide each side by '2'. w = -2 Simplifying w = -2
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