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Simplifying -1(w + 2) = -8w + 11 Reorder the terms: -1(2 + w) = -8w + 11 (2 * -1 + w * -1) = -8w + 11 (-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 = 13 7w = 13 Divide each side by '7'. w = 1.857142857 Simplifying w = 1.857142857
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