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Simplifying 2(4w + -5) = 42 Reorder the terms: 2(-5 + 4w) = 42 (-5 * 2 + 4w * 2) = 42 (-10 + 8w) = 42 Solving -10 + 8w = 42 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 8w = 42 + 10 Combine like terms: -10 + 10 = 0 0 + 8w = 42 + 10 8w = 42 + 10 Combine like terms: 42 + 10 = 52 8w = 52 Divide each side by '8'. w = 6.5 Simplifying w = 6.5
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