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Simplifying -2(w + 7) = -7 + -39 Reorder the terms: -2(7 + w) = -7 + -39 (7 * -2 + w * -2) = -7 + -39 (-14 + -2w) = -7 + -39 Combine like terms: -7 + -39 = -46 -14 + -2w = -46 Solving -14 + -2w = -46 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -2w = -46 + 14 Combine like terms: -14 + 14 = 0 0 + -2w = -46 + 14 -2w = -46 + 14 Combine like terms: -46 + 14 = -32 -2w = -32 Divide each side by '-2'. w = 16 Simplifying w = 16
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