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Simplifying 8w + 4 + -2(-2w + -2) = 2(w + -3) Reorder the terms: 8w + 4 + -2(-2 + -2w) = 2(w + -3) 8w + 4 + (-2 * -2 + -2w * -2) = 2(w + -3) 8w + 4 + (4 + 4w) = 2(w + -3) Reorder the terms: 4 + 4 + 8w + 4w = 2(w + -3) Combine like terms: 4 + 4 = 8 8 + 8w + 4w = 2(w + -3) Combine like terms: 8w + 4w = 12w 8 + 12w = 2(w + -3) Reorder the terms: 8 + 12w = 2(-3 + w) 8 + 12w = (-3 * 2 + w * 2) 8 + 12w = (-6 + 2w) Solving 8 + 12w = -6 + 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. 8 + 12w + -2w = -6 + 2w + -2w Combine like terms: 12w + -2w = 10w 8 + 10w = -6 + 2w + -2w Combine like terms: 2w + -2w = 0 8 + 10w = -6 + 0 8 + 10w = -6 Add '-8' to each side of the equation. 8 + -8 + 10w = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 10w = -6 + -8 10w = -6 + -8 Combine like terms: -6 + -8 = -14 10w = -14 Divide each side by '10'. w = -1.4 Simplifying w = -1.4
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