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Simplifying 9w + 4 = 5(w + -8) Reorder the terms: 4 + 9w = 5(w + -8) Reorder the terms: 4 + 9w = 5(-8 + w) 4 + 9w = (-8 * 5 + w * 5) 4 + 9w = (-40 + 5w) Solving 4 + 9w = -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. 4 + 9w + -5w = -40 + 5w + -5w Combine like terms: 9w + -5w = 4w 4 + 4w = -40 + 5w + -5w Combine like terms: 5w + -5w = 0 4 + 4w = -40 + 0 4 + 4w = -40 Add '-4' to each side of the equation. 4 + -4 + 4w = -40 + -4 Combine like terms: 4 + -4 = 0 0 + 4w = -40 + -4 4w = -40 + -4 Combine like terms: -40 + -4 = -44 4w = -44 Divide each side by '4'. w = -11 Simplifying w = -11
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