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Simplifying 50 = -5(2w + 4) Reorder the terms: 50 = -5(4 + 2w) 50 = (4 * -5 + 2w * -5) 50 = (-20 + -10w) Solving 50 = -20 + -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. 50 + 10w = -20 + -10w + 10w Combine like terms: -10w + 10w = 0 50 + 10w = -20 + 0 50 + 10w = -20 Add '-50' to each side of the equation. 50 + -50 + 10w = -20 + -50 Combine like terms: 50 + -50 = 0 0 + 10w = -20 + -50 10w = -20 + -50 Combine like terms: -20 + -50 = -70 10w = -70 Divide each side by '10'. w = -7 Simplifying w = -7
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