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Simplifying -22 + 2(w + -9) = -32 Reorder the terms: -22 + 2(-9 + w) = -32 -22 + (-9 * 2 + w * 2) = -32 -22 + (-18 + 2w) = -32 Combine like terms: -22 + -18 = -40 -40 + 2w = -32 Solving -40 + 2w = -32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 2w = -32 + 40 Combine like terms: -40 + 40 = 0 0 + 2w = -32 + 40 2w = -32 + 40 Combine like terms: -32 + 40 = 8 2w = 8 Divide each side by '2'. w = 4 Simplifying w = 4
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