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Simplifying -5(7w + 8) = 30 Reorder the terms: -5(8 + 7w) = 30 (8 * -5 + 7w * -5) = 30 (-40 + -35w) = 30 Solving -40 + -35w = 30 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 = 30 + 40 Combine like terms: -40 + 40 = 0 0 + -35w = 30 + 40 -35w = 30 + 40 Combine like terms: 30 + 40 = 70 -35w = 70 Divide each side by '-35'. w = -2 Simplifying w = -2
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