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Simplifying 4w + -4 = -5(w + 8) Reorder the terms: -4 + 4w = -5(w + 8) Reorder the terms: -4 + 4w = -5(8 + w) -4 + 4w = (8 * -5 + w * -5) -4 + 4w = (-40 + -5w) Solving -4 + 4w = -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 + 4w + 5w = -40 + -5w + 5w Combine like terms: 4w + 5w = 9w -4 + 9w = -40 + -5w + 5w Combine like terms: -5w + 5w = 0 -4 + 9w = -40 + 0 -4 + 9w = -40 Add '4' to each side of the equation. -4 + 4 + 9w = -40 + 4 Combine like terms: -4 + 4 = 0 0 + 9w = -40 + 4 9w = -40 + 4 Combine like terms: -40 + 4 = -36 9w = -36 Divide each side by '9'. w = -4 Simplifying w = -4
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