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Simplifying 15w + 20 = 13w + 22 Reorder the terms: 20 + 15w = 13w + 22 Reorder the terms: 20 + 15w = 22 + 13w Solving 20 + 15w = 22 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. 20 + 15w + -13w = 22 + 13w + -13w Combine like terms: 15w + -13w = 2w 20 + 2w = 22 + 13w + -13w Combine like terms: 13w + -13w = 0 20 + 2w = 22 + 0 20 + 2w = 22 Add '-20' to each side of the equation. 20 + -20 + 2w = 22 + -20 Combine like terms: 20 + -20 = 0 0 + 2w = 22 + -20 2w = 22 + -20 Combine like terms: 22 + -20 = 2 2w = 2 Divide each side by '2'. w = 1 Simplifying w = 1
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