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Simplifying 5w + -2 = 9w + -2.5 + -11w Reorder the terms: -2 + 5w = 9w + -2.5 + -11w Reorder the terms: -2 + 5w = -2.5 + 9w + -11w Combine like terms: 9w + -11w = -2w -2 + 5w = -2.5 + -2w Solving -2 + 5w = -2.5 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -2 + 5w + 2w = -2.5 + -2w + 2w Combine like terms: 5w + 2w = 7w -2 + 7w = -2.5 + -2w + 2w Combine like terms: -2w + 2w = 0 -2 + 7w = -2.5 + 0 -2 + 7w = -2.5 Add '2' to each side of the equation. -2 + 2 + 7w = -2.5 + 2 Combine like terms: -2 + 2 = 0 0 + 7w = -2.5 + 2 7w = -2.5 + 2 Combine like terms: -2.5 + 2 = -0.5 7w = -0.5 Divide each side by '7'. w = -0.07142857143 Simplifying w = -0.07142857143
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