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Simplifying 7w + -25 + -2w = 15 + -3w + 16 Reorder the terms: -25 + 7w + -2w = 15 + -3w + 16 Combine like terms: 7w + -2w = 5w -25 + 5w = 15 + -3w + 16 Reorder the terms: -25 + 5w = 15 + 16 + -3w Combine like terms: 15 + 16 = 31 -25 + 5w = 31 + -3w Solving -25 + 5w = 31 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -25 + 5w + 3w = 31 + -3w + 3w Combine like terms: 5w + 3w = 8w -25 + 8w = 31 + -3w + 3w Combine like terms: -3w + 3w = 0 -25 + 8w = 31 + 0 -25 + 8w = 31 Add '25' to each side of the equation. -25 + 25 + 8w = 31 + 25 Combine like terms: -25 + 25 = 0 0 + 8w = 31 + 25 8w = 31 + 25 Combine like terms: 31 + 25 = 56 8w = 56 Divide each side by '8'. w = 7 Simplifying w = 7
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