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Simplifying 32w + 21 = 22w + -19 Reorder the terms: 21 + 32w = 22w + -19 Reorder the terms: 21 + 32w = -19 + 22w Solving 21 + 32w = -19 + 22w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-22w' to each side of the equation. 21 + 32w + -22w = -19 + 22w + -22w Combine like terms: 32w + -22w = 10w 21 + 10w = -19 + 22w + -22w Combine like terms: 22w + -22w = 0 21 + 10w = -19 + 0 21 + 10w = -19 Add '-21' to each side of the equation. 21 + -21 + 10w = -19 + -21 Combine like terms: 21 + -21 = 0 0 + 10w = -19 + -21 10w = -19 + -21 Combine like terms: -19 + -21 = -40 10w = -40 Divide each side by '10'. w = -4 Simplifying w = -4
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