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Simplifying 2 + -1(2w + -9) = -38 Reorder the terms: 2 + -1(-9 + 2w) = -38 2 + (-9 * -1 + 2w * -1) = -38 2 + (9 + -2w) = -38 Combine like terms: 2 + 9 = 11 11 + -2w = -38 Solving 11 + -2w = -38 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2w = -38 + -11 Combine like terms: 11 + -11 = 0 0 + -2w = -38 + -11 -2w = -38 + -11 Combine like terms: -38 + -11 = -49 -2w = -49 Divide each side by '-2'. w = 24.5 Simplifying w = 24.5
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