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Simplifying 7w + 4 + -2(w + -5) = 0 Reorder the terms: 7w + 4 + -2(-5 + w) = 0 7w + 4 + (-5 * -2 + w * -2) = 0 7w + 4 + (10 + -2w) = 0 Reorder the terms: 4 + 10 + 7w + -2w = 0 Combine like terms: 4 + 10 = 14 14 + 7w + -2w = 0 Combine like terms: 7w + -2w = 5w 14 + 5w = 0 Solving 14 + 5w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 5w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 5w = 0 + -14 5w = 0 + -14 Combine like terms: 0 + -14 = -14 5w = -14 Divide each side by '5'. w = -2.8 Simplifying w = -2.8
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