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Simplifying -5(-7w + 8) = 0 Reorder the terms: -5(8 + -7w) = 0 (8 * -5 + -7w * -5) = 0 (-40 + 35w) = 0 Solving -40 + 35w = 0 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 + 35w = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 35w = 0 + 40 35w = 0 + 40 Combine like terms: 0 + 40 = 40 35w = 40 Divide each side by '35'. w = 1.142857143 Simplifying w = 1.142857143
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