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Simplifying 6w + -6 + 2(2w + 8) = -4(w + 2) Reorder the terms: 6w + -6 + 2(8 + 2w) = -4(w + 2) 6w + -6 + (8 * 2 + 2w * 2) = -4(w + 2) 6w + -6 + (16 + 4w) = -4(w + 2) Reorder the terms: -6 + 16 + 6w + 4w = -4(w + 2) Combine like terms: -6 + 16 = 10 10 + 6w + 4w = -4(w + 2) Combine like terms: 6w + 4w = 10w 10 + 10w = -4(w + 2) Reorder the terms: 10 + 10w = -4(2 + w) 10 + 10w = (2 * -4 + w * -4) 10 + 10w = (-8 + -4w) Solving 10 + 10w = -8 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 10 + 10w + 4w = -8 + -4w + 4w Combine like terms: 10w + 4w = 14w 10 + 14w = -8 + -4w + 4w Combine like terms: -4w + 4w = 0 10 + 14w = -8 + 0 10 + 14w = -8 Add '-10' to each side of the equation. 10 + -10 + 14w = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 14w = -8 + -10 14w = -8 + -10 Combine like terms: -8 + -10 = -18 14w = -18 Divide each side by '14'. w = -1.285714286 Simplifying w = -1.285714286
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