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Simplifying -5(-2w + 8) = 40 Reorder the terms: -5(8 + -2w) = 40 (8 * -5 + -2w * -5) = 40 (-40 + 10w) = 40 Solving -40 + 10w = 40 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 10w = 40 + 40 Combine like terms: -40 + 40 = 0 0 + 10w = 40 + 40 10w = 40 + 40 Combine like terms: 40 + 40 = 80 10w = 80 Divide each side by '10'. w = 8 Simplifying w = 8
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