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Simplifying 2(w + -2) + 9 = 5 + -5w Reorder the terms: 2(-2 + w) + 9 = 5 + -5w (-2 * 2 + w * 2) + 9 = 5 + -5w (-4 + 2w) + 9 = 5 + -5w Reorder the terms: -4 + 9 + 2w = 5 + -5w Combine like terms: -4 + 9 = 5 5 + 2w = 5 + -5w Add '-5' to each side of the equation. 5 + -5 + 2w = 5 + -5 + -5w Combine like terms: 5 + -5 = 0 0 + 2w = 5 + -5 + -5w 2w = 5 + -5 + -5w Combine like terms: 5 + -5 = 0 2w = 0 + -5w 2w = -5w Solving 2w = -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 2w + 5w = -5w + 5w Combine like terms: 2w + 5w = 7w 7w = -5w + 5w Combine like terms: -5w + 5w = 0 7w = 0 Divide each side by '7'. w = 0 Simplifying w = 0
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