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Simplifying 12w + 13 = 9w + 19 Reorder the terms: 13 + 12w = 9w + 19 Reorder the terms: 13 + 12w = 19 + 9w Solving 13 + 12w = 19 + 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. 13 + 12w + -9w = 19 + 9w + -9w Combine like terms: 12w + -9w = 3w 13 + 3w = 19 + 9w + -9w Combine like terms: 9w + -9w = 0 13 + 3w = 19 + 0 13 + 3w = 19 Add '-13' to each side of the equation. 13 + -13 + 3w = 19 + -13 Combine like terms: 13 + -13 = 0 0 + 3w = 19 + -13 3w = 19 + -13 Combine like terms: 19 + -13 = 6 3w = 6 Divide each side by '3'. w = 2 Simplifying w = 2
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