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Simplifying 47 = 5w + 19 + -7w Reorder the terms: 47 = 19 + 5w + -7w Combine like terms: 5w + -7w = -2w 47 = 19 + -2w Solving 47 = 19 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 47 + 2w = 19 + -2w + 2w Combine like terms: -2w + 2w = 0 47 + 2w = 19 + 0 47 + 2w = 19 Add '-47' to each side of the equation. 47 + -47 + 2w = 19 + -47 Combine like terms: 47 + -47 = 0 0 + 2w = 19 + -47 2w = 19 + -47 Combine like terms: 19 + -47 = -28 2w = -28 Divide each side by '2'. w = -14 Simplifying w = -14
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