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Simplifying 5w + 7w + -6(4) = 0 Multiply -6 * 4 5w + 7w + -24 = 0 Reorder the terms: -24 + 5w + 7w = 0 Combine like terms: 5w + 7w = 12w -24 + 12w = 0 Solving -24 + 12w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 12w = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 12w = 0 + 24 12w = 0 + 24 Combine like terms: 0 + 24 = 24 12w = 24 Divide each side by '12'. w = 2 Simplifying w = 2
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