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Simplifying 5(w + -8) = -3 + 24 Reorder the terms: 5(-8 + w) = -3 + 24 (-8 * 5 + w * 5) = -3 + 24 (-40 + 5w) = -3 + 24 Combine like terms: -3 + 24 = 21 -40 + 5w = 21 Solving -40 + 5w = 21 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 5w = 21 + 40 Combine like terms: -40 + 40 = 0 0 + 5w = 21 + 40 5w = 21 + 40 Combine like terms: 21 + 40 = 61 5w = 61 Divide each side by '5'. w = 12.2 Simplifying w = 12.2
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