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Simplifying 12w + -5 = 9w + 13 Reorder the terms: -5 + 12w = 9w + 13 Reorder the terms: -5 + 12w = 13 + 9w Solving -5 + 12w = 13 + 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. -5 + 12w + -9w = 13 + 9w + -9w Combine like terms: 12w + -9w = 3w -5 + 3w = 13 + 9w + -9w Combine like terms: 9w + -9w = 0 -5 + 3w = 13 + 0 -5 + 3w = 13 Add '5' to each side of the equation. -5 + 5 + 3w = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 3w = 13 + 5 3w = 13 + 5 Combine like terms: 13 + 5 = 18 3w = 18 Divide each side by '3'. w = 6 Simplifying w = 6
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