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Simplifying -5w + 1 = -7w + 9 Reorder the terms: 1 + -5w = -7w + 9 Reorder the terms: 1 + -5w = 9 + -7w Solving 1 + -5w = 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. 1 + -5w + 7w = 9 + -7w + 7w Combine like terms: -5w + 7w = 2w 1 + 2w = 9 + -7w + 7w Combine like terms: -7w + 7w = 0 1 + 2w = 9 + 0 1 + 2w = 9 Add '-1' to each side of the equation. 1 + -1 + 2w = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 2w = 9 + -1 2w = 9 + -1 Combine like terms: 9 + -1 = 8 2w = 8 Divide each side by '2'. w = 4 Simplifying w = 4
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