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Simplifying 6(4 + 2w) = -2(w + -10) (4 * 6 + 2w * 6) = -2(w + -10) (24 + 12w) = -2(w + -10) Reorder the terms: 24 + 12w = -2(-10 + w) 24 + 12w = (-10 * -2 + w * -2) 24 + 12w = (20 + -2w) Solving 24 + 12w = 20 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 24 + 12w + 2w = 20 + -2w + 2w Combine like terms: 12w + 2w = 14w 24 + 14w = 20 + -2w + 2w Combine like terms: -2w + 2w = 0 24 + 14w = 20 + 0 24 + 14w = 20 Add '-24' to each side of the equation. 24 + -24 + 14w = 20 + -24 Combine like terms: 24 + -24 = 0 0 + 14w = 20 + -24 14w = 20 + -24 Combine like terms: 20 + -24 = -4 14w = -4 Divide each side by '14'. w = -0.2857142857 Simplifying w = -0.2857142857
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