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Simplifying 5(w + -7) = -40 Reorder the terms: 5(-7 + w) = -40 (-7 * 5 + w * 5) = -40 (-35 + 5w) = -40 Solving -35 + 5w = -40 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 5w = -40 + 35 Combine like terms: -35 + 35 = 0 0 + 5w = -40 + 35 5w = -40 + 35 Combine like terms: -40 + 35 = -5 5w = -5 Divide each side by '5'. w = -1 Simplifying w = -1
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