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Simplifying 2w + -5(1 + -1w) = 9 2w + (1 * -5 + -1w * -5) = 9 2w + (-5 + 5w) = 9 Reorder the terms: -5 + 2w + 5w = 9 Combine like terms: 2w + 5w = 7w -5 + 7w = 9 Solving -5 + 7w = 9 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7w = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 7w = 9 + 5 7w = 9 + 5 Combine like terms: 9 + 5 = 14 7w = 14 Divide each side by '7'. w = 2 Simplifying w = 2
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