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Simplifying 22w + -42 = 34 + -16w Reorder the terms: -42 + 22w = 34 + -16w Solving -42 + 22w = 34 + -16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '16w' to each side of the equation. -42 + 22w + 16w = 34 + -16w + 16w Combine like terms: 22w + 16w = 38w -42 + 38w = 34 + -16w + 16w Combine like terms: -16w + 16w = 0 -42 + 38w = 34 + 0 -42 + 38w = 34 Add '42' to each side of the equation. -42 + 42 + 38w = 34 + 42 Combine like terms: -42 + 42 = 0 0 + 38w = 34 + 42 38w = 34 + 42 Combine like terms: 34 + 42 = 76 38w = 76 Divide each side by '38'. w = 2 Simplifying w = 2
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