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Simplifying -1w + 2 = -8w + 11 Reorder the terms: 2 + -1w = -8w + 11 Reorder the terms: 2 + -1w = 11 + -8w Solving 2 + -1w = 11 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 2 + -1w + 8w = 11 + -8w + 8w Combine like terms: -1w + 8w = 7w 2 + 7w = 11 + -8w + 8w Combine like terms: -8w + 8w = 0 2 + 7w = 11 + 0 2 + 7w = 11 Add '-2' to each side of the equation. 2 + -2 + 7w = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 7w = 11 + -2 7w = 11 + -2 Combine like terms: 11 + -2 = 9 7w = 9 Divide each side by '7'. w = 1.285714286 Simplifying w = 1.285714286
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