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Simplifying 50 + 10 + -7w + 2 = 20 + -8w + 5 Reorder the terms: 50 + 10 + 2 + -7w = 20 + -8w + 5 Combine like terms: 50 + 10 = 60 60 + 2 + -7w = 20 + -8w + 5 Combine like terms: 60 + 2 = 62 62 + -7w = 20 + -8w + 5 Reorder the terms: 62 + -7w = 20 + 5 + -8w Combine like terms: 20 + 5 = 25 62 + -7w = 25 + -8w Solving 62 + -7w = 25 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 62 + -7w + 8w = 25 + -8w + 8w Combine like terms: -7w + 8w = 1w 62 + 1w = 25 + -8w + 8w Combine like terms: -8w + 8w = 0 62 + 1w = 25 + 0 62 + 1w = 25 Add '-62' to each side of the equation. 62 + -62 + 1w = 25 + -62 Combine like terms: 62 + -62 = 0 0 + 1w = 25 + -62 1w = 25 + -62 Combine like terms: 25 + -62 = -37 1w = -37 Divide each side by '1'. w = -37 Simplifying w = -37
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