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Simplifying 5(w + -4) + w + 8 = 0 Reorder the terms: 5(-4 + w) + w + 8 = 0 (-4 * 5 + w * 5) + w + 8 = 0 (-20 + 5w) + w + 8 = 0 Reorder the terms: -20 + 8 + 5w + w = 0 Combine like terms: -20 + 8 = -12 -12 + 5w + w = 0 Combine like terms: 5w + w = 6w -12 + 6w = 0 Solving -12 + 6w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 6w = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 6w = 0 + 12 6w = 0 + 12 Combine like terms: 0 + 12 = 12 6w = 12 Divide each side by '6'. w = 2 Simplifying w = 2
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