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Simplifying 5(w + -8) = -3w + 24 Reorder the terms: 5(-8 + w) = -3w + 24 (-8 * 5 + w * 5) = -3w + 24 (-40 + 5w) = -3w + 24 Reorder the terms: -40 + 5w = 24 + -3w Solving -40 + 5w = 24 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -40 + 5w + 3w = 24 + -3w + 3w Combine like terms: 5w + 3w = 8w -40 + 8w = 24 + -3w + 3w Combine like terms: -3w + 3w = 0 -40 + 8w = 24 + 0 -40 + 8w = 24 Add '40' to each side of the equation. -40 + 40 + 8w = 24 + 40 Combine like terms: -40 + 40 = 0 0 + 8w = 24 + 40 8w = 24 + 40 Combine like terms: 24 + 40 = 64 8w = 64 Divide each side by '8'. w = 8 Simplifying w = 8
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