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Simplifying 15w + -34 = 8w + 8 Reorder the terms: -34 + 15w = 8w + 8 Reorder the terms: -34 + 15w = 8 + 8w Solving -34 + 15w = 8 + 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. -34 + 15w + -8w = 8 + 8w + -8w Combine like terms: 15w + -8w = 7w -34 + 7w = 8 + 8w + -8w Combine like terms: 8w + -8w = 0 -34 + 7w = 8 + 0 -34 + 7w = 8 Add '34' to each side of the equation. -34 + 34 + 7w = 8 + 34 Combine like terms: -34 + 34 = 0 0 + 7w = 8 + 34 7w = 8 + 34 Combine like terms: 8 + 34 = 42 7w = 42 Divide each side by '7'. w = 6 Simplifying w = 6
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