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