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Simplifying 15w + -6w + -8w + 7 = 32 Reorder the terms: 7 + 15w + -6w + -8w = 32 Combine like terms: 15w + -6w = 9w 7 + 9w + -8w = 32 Combine like terms: 9w + -8w = 1w 7 + 1w = 32 Solving 7 + 1w = 32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 1w = 32 + -7 Combine like terms: 7 + -7 = 0 0 + 1w = 32 + -7 1w = 32 + -7 Combine like terms: 32 + -7 = 25 1w = 25 Divide each side by '1'. w = 25 Simplifying w = 25
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