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Simplifying 15w + 12 = 9w + 36 Reorder the terms: 12 + 15w = 9w + 36 Reorder the terms: 12 + 15w = 36 + 9w Solving 12 + 15w = 36 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 12 + 15w + -9w = 36 + 9w + -9w Combine like terms: 15w + -9w = 6w 12 + 6w = 36 + 9w + -9w Combine like terms: 9w + -9w = 0 12 + 6w = 36 + 0 12 + 6w = 36 Add '-12' to each side of the equation. 12 + -12 + 6w = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 6w = 36 + -12 6w = 36 + -12 Combine like terms: 36 + -12 = 24 6w = 24 Divide each side by '6'. w = 4 Simplifying w = 4
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