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Simplifying -1(w + 2) = -3w + 11 Reorder the terms: -1(2 + w) = -3w + 11 (2 * -1 + w * -1) = -3w + 11 (-2 + -1w) = -3w + 11 Reorder the terms: -2 + -1w = 11 + -3w Solving -2 + -1w = 11 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -2 + -1w + 3w = 11 + -3w + 3w Combine like terms: -1w + 3w = 2w -2 + 2w = 11 + -3w + 3w Combine like terms: -3w + 3w = 0 -2 + 2w = 11 + 0 -2 + 2w = 11 Add '2' to each side of the equation. -2 + 2 + 2w = 11 + 2 Combine like terms: -2 + 2 = 0 0 + 2w = 11 + 2 2w = 11 + 2 Combine like terms: 11 + 2 = 13 2w = 13 Divide each side by '2'. w = 6.5 Simplifying w = 6.5
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