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Simplifying -2w + 5 = 7w + -9 Reorder the terms: 5 + -2w = 7w + -9 Reorder the terms: 5 + -2w = -9 + 7w Solving 5 + -2w = -9 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 5 + -2w + -7w = -9 + 7w + -7w Combine like terms: -2w + -7w = -9w 5 + -9w = -9 + 7w + -7w Combine like terms: 7w + -7w = 0 5 + -9w = -9 + 0 5 + -9w = -9 Add '-5' to each side of the equation. 5 + -5 + -9w = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -9w = -9 + -5 -9w = -9 + -5 Combine like terms: -9 + -5 = -14 -9w = -14 Divide each side by '-9'. w = 1.555555556 Simplifying w = 1.555555556
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