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Simplifying 12w + -15 = 9w + 6 Reorder the terms: -15 + 12w = 9w + 6 Reorder the terms: -15 + 12w = 6 + 9w Solving -15 + 12w = 6 + 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. -15 + 12w + -9w = 6 + 9w + -9w Combine like terms: 12w + -9w = 3w -15 + 3w = 6 + 9w + -9w Combine like terms: 9w + -9w = 0 -15 + 3w = 6 + 0 -15 + 3w = 6 Add '15' to each side of the equation. -15 + 15 + 3w = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 3w = 6 + 15 3w = 6 + 15 Combine like terms: 6 + 15 = 21 3w = 21 Divide each side by '3'. w = 7 Simplifying w = 7
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