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Simplifying 9w + -11 = 7w + 1 Reorder the terms: -11 + 9w = 7w + 1 Reorder the terms: -11 + 9w = 1 + 7w Solving -11 + 9w = 1 + 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. -11 + 9w + -7w = 1 + 7w + -7w Combine like terms: 9w + -7w = 2w -11 + 2w = 1 + 7w + -7w Combine like terms: 7w + -7w = 0 -11 + 2w = 1 + 0 -11 + 2w = 1 Add '11' to each side of the equation. -11 + 11 + 2w = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 2w = 1 + 11 2w = 1 + 11 Combine like terms: 1 + 11 = 12 2w = 12 Divide each side by '2'. w = 6 Simplifying w = 6
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