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Simplifying 8 + -2w = 38 + -7w Solving 8 + -2w = 38 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 8 + -2w + 7w = 38 + -7w + 7w Combine like terms: -2w + 7w = 5w 8 + 5w = 38 + -7w + 7w Combine like terms: -7w + 7w = 0 8 + 5w = 38 + 0 8 + 5w = 38 Add '-8' to each side of the equation. 8 + -8 + 5w = 38 + -8 Combine like terms: 8 + -8 = 0 0 + 5w = 38 + -8 5w = 38 + -8 Combine like terms: 38 + -8 = 30 5w = 30 Divide each side by '5'. w = 6 Simplifying w = 6
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