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Simplifying 12(w + -7) + 10w = 34 Reorder the terms: 12(-7 + w) + 10w = 34 (-7 * 12 + w * 12) + 10w = 34 (-84 + 12w) + 10w = 34 Combine like terms: 12w + 10w = 22w -84 + 22w = 34 Solving -84 + 22w = 34 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + 22w = 34 + 84 Combine like terms: -84 + 84 = 0 0 + 22w = 34 + 84 22w = 34 + 84 Combine like terms: 34 + 84 = 118 22w = 118 Divide each side by '22'. w = 5.363636364 Simplifying w = 5.363636364
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