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Simplifying -7w + 8 = 16 + -15w Reorder the terms: 8 + -7w = 16 + -15w Solving 8 + -7w = 16 + -15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15w' to each side of the equation. 8 + -7w + 15w = 16 + -15w + 15w Combine like terms: -7w + 15w = 8w 8 + 8w = 16 + -15w + 15w Combine like terms: -15w + 15w = 0 8 + 8w = 16 + 0 8 + 8w = 16 Add '-8' to each side of the equation. 8 + -8 + 8w = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 8w = 16 + -8 8w = 16 + -8 Combine like terms: 16 + -8 = 8 8w = 8 Divide each side by '8'. w = 1 Simplifying w = 1
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