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Simplifying -2(5 + -3w) = -52 (5 * -2 + -3w * -2) = -52 (-10 + 6w) = -52 Solving -10 + 6w = -52 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 6w = -52 + 10 Combine like terms: -10 + 10 = 0 0 + 6w = -52 + 10 6w = -52 + 10 Combine like terms: -52 + 10 = -42 6w = -42 Divide each side by '6'. w = -7 Simplifying w = -7
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