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Simplifying 7w + -3 = 5w + 13 Reorder the terms: -3 + 7w = 5w + 13 Reorder the terms: -3 + 7w = 13 + 5w Solving -3 + 7w = 13 + 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. -3 + 7w + -5w = 13 + 5w + -5w Combine like terms: 7w + -5w = 2w -3 + 2w = 13 + 5w + -5w Combine like terms: 5w + -5w = 0 -3 + 2w = 13 + 0 -3 + 2w = 13 Add '3' to each side of the equation. -3 + 3 + 2w = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 2w = 13 + 3 2w = 13 + 3 Combine like terms: 13 + 3 = 16 2w = 16 Divide each side by '2'. w = 8 Simplifying w = 8
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