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Simplifying -2(5 + w) = 8 + -2 (5 * -2 + w * -2) = 8 + -2 (-10 + -2w) = 8 + -2 Combine like terms: 8 + -2 = 6 -10 + -2w = 6 Solving -10 + -2w = 6 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 + -2w = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -2w = 6 + 10 -2w = 6 + 10 Combine like terms: 6 + 10 = 16 -2w = 16 Divide each side by '-2'. w = -8 Simplifying w = -8
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