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Simplifying 15 + 12 = w + 15 Combine like terms: 15 + 12 = 27 27 = w + 15 Reorder the terms: 27 = 15 + w Solving 27 = 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. 27 + -1w = 15 + w + -1w Combine like terms: w + -1w = 0 27 + -1w = 15 + 0 27 + -1w = 15 Add '-27' to each side of the equation. 27 + -27 + -1w = 15 + -27 Combine like terms: 27 + -27 = 0 0 + -1w = 15 + -27 -1w = 15 + -27 Combine like terms: 15 + -27 = -12 -1w = -12 Divide each side by '-1'. w = 12 Simplifying w = 12
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