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Simplifying 5(w + -4) + -8w = 4 Reorder the terms: 5(-4 + w) + -8w = 4 (-4 * 5 + w * 5) + -8w = 4 (-20 + 5w) + -8w = 4 Combine like terms: 5w + -8w = -3w -20 + -3w = 4 Solving -20 + -3w = 4 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -3w = 4 + 20 Combine like terms: -20 + 20 = 0 0 + -3w = 4 + 20 -3w = 4 + 20 Combine like terms: 4 + 20 = 24 -3w = 24 Divide each side by '-3'. w = -8 Simplifying w = -8
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