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Simplifying -2(w + 5) = 2w + -8 + 2(5w + 5) Reorder the terms: -2(5 + w) = 2w + -8 + 2(5w + 5) (5 * -2 + w * -2) = 2w + -8 + 2(5w + 5) (-10 + -2w) = 2w + -8 + 2(5w + 5) Reorder the terms: -10 + -2w = 2w + -8 + 2(5 + 5w) -10 + -2w = 2w + -8 + (5 * 2 + 5w * 2) -10 + -2w = 2w + -8 + (10 + 10w) Reorder the terms: -10 + -2w = -8 + 10 + 2w + 10w Combine like terms: -8 + 10 = 2 -10 + -2w = 2 + 2w + 10w Combine like terms: 2w + 10w = 12w -10 + -2w = 2 + 12w Solving -10 + -2w = 2 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -10 + -2w + -12w = 2 + 12w + -12w Combine like terms: -2w + -12w = -14w -10 + -14w = 2 + 12w + -12w Combine like terms: 12w + -12w = 0 -10 + -14w = 2 + 0 -10 + -14w = 2 Add '10' to each side of the equation. -10 + 10 + -14w = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -14w = 2 + 10 -14w = 2 + 10 Combine like terms: 2 + 10 = 12 -14w = 12 Divide each side by '-14'. w = -0.8571428571 Simplifying w = -0.8571428571
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