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Simplifying 5w + 20 = -5(w + 8) Reorder the terms: 20 + 5w = -5(w + 8) Reorder the terms: 20 + 5w = -5(8 + w) 20 + 5w = (8 * -5 + w * -5) 20 + 5w = (-40 + -5w) Solving 20 + 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. 20 + 5w + 5w = -40 + -5w + 5w Combine like terms: 5w + 5w = 10w 20 + 10w = -40 + -5w + 5w Combine like terms: -5w + 5w = 0 20 + 10w = -40 + 0 20 + 10w = -40 Add '-20' to each side of the equation. 20 + -20 + 10w = -40 + -20 Combine like terms: 20 + -20 = 0 0 + 10w = -40 + -20 10w = -40 + -20 Combine like terms: -40 + -20 = -60 10w = -60 Divide each side by '10'. w = -6 Simplifying w = -6
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