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Simplifying 2(-4w + -5) = 74 Reorder the terms: 2(-5 + -4w) = 74 (-5 * 2 + -4w * 2) = 74 (-10 + -8w) = 74 Solving -10 + -8w = 74 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 = 74 + 10 Combine like terms: -10 + 10 = 0 0 + -8w = 74 + 10 -8w = 74 + 10 Combine like terms: 74 + 10 = 84 -8w = 84 Divide each side by '-8'. w = -10.5 Simplifying w = -10.5
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