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Simplifying 12 + 9w = w + -15 Reorder the terms: 12 + 9w = -15 + w Solving 12 + 9w = -15 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 12 + 9w + -1w = -15 + w + -1w Combine like terms: 9w + -1w = 8w 12 + 8w = -15 + w + -1w Combine like terms: w + -1w = 0 12 + 8w = -15 + 0 12 + 8w = -15 Add '-12' to each side of the equation. 12 + -12 + 8w = -15 + -12 Combine like terms: 12 + -12 = 0 0 + 8w = -15 + -12 8w = -15 + -12 Combine like terms: -15 + -12 = -27 8w = -27 Divide each side by '8'. w = -3.375 Simplifying w = -3.375
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