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Simplifying (-4) + -5(w + 8) = 0 -4 + -5(w + 8) = 0 Reorder the terms: -4 + -5(8 + w) = 0 -4 + (8 * -5 + w * -5) = 0 -4 + (-40 + -5w) = 0 Combine like terms: -4 + -40 = -44 -44 + -5w = 0 Solving -44 + -5w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + -5w = 0 + 44 Combine like terms: -44 + 44 = 0 0 + -5w = 0 + 44 -5w = 0 + 44 Combine like terms: 0 + 44 = 44 -5w = 44 Divide each side by '-5'. w = -8.8 Simplifying w = -8.8
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