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Simplifying w + 8 + 7w + -50 = 5w + 30 Reorder the terms: 8 + -50 + w + 7w = 5w + 30 Combine like terms: 8 + -50 = -42 -42 + w + 7w = 5w + 30 Combine like terms: w + 7w = 8w -42 + 8w = 5w + 30 Reorder the terms: -42 + 8w = 30 + 5w Solving -42 + 8w = 30 + 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. -42 + 8w + -5w = 30 + 5w + -5w Combine like terms: 8w + -5w = 3w -42 + 3w = 30 + 5w + -5w Combine like terms: 5w + -5w = 0 -42 + 3w = 30 + 0 -42 + 3w = 30 Add '42' to each side of the equation. -42 + 42 + 3w = 30 + 42 Combine like terms: -42 + 42 = 0 0 + 3w = 30 + 42 3w = 30 + 42 Combine like terms: 30 + 42 = 72 3w = 72 Divide each side by '3'. w = 24 Simplifying w = 24
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