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Simplifying 7w + -47 = 5w + -49 Reorder the terms: -47 + 7w = 5w + -49 Reorder the terms: -47 + 7w = -49 + 5w Solving -47 + 7w = -49 + 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. -47 + 7w + -5w = -49 + 5w + -5w Combine like terms: 7w + -5w = 2w -47 + 2w = -49 + 5w + -5w Combine like terms: 5w + -5w = 0 -47 + 2w = -49 + 0 -47 + 2w = -49 Add '47' to each side of the equation. -47 + 47 + 2w = -49 + 47 Combine like terms: -47 + 47 = 0 0 + 2w = -49 + 47 2w = -49 + 47 Combine like terms: -49 + 47 = -2 2w = -2 Divide each side by '2'. w = -1 Simplifying w = -1
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