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Simplifying 8w + 4 + -2(-4w + -4) = 2(w + -3) Reorder the terms: 8w + 4 + -2(-4 + -4w) = 2(w + -3) 8w + 4 + (-4 * -2 + -4w * -2) = 2(w + -3) 8w + 4 + (8 + 8w) = 2(w + -3) Reorder the terms: 4 + 8 + 8w + 8w = 2(w + -3) Combine like terms: 4 + 8 = 12 12 + 8w + 8w = 2(w + -3) Combine like terms: 8w + 8w = 16w 12 + 16w = 2(w + -3) Reorder the terms: 12 + 16w = 2(-3 + w) 12 + 16w = (-3 * 2 + w * 2) 12 + 16w = (-6 + 2w) Solving 12 + 16w = -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. 12 + 16w + -2w = -6 + 2w + -2w Combine like terms: 16w + -2w = 14w 12 + 14w = -6 + 2w + -2w Combine like terms: 2w + -2w = 0 12 + 14w = -6 + 0 12 + 14w = -6 Add '-12' to each side of the equation. 12 + -12 + 14w = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 14w = -6 + -12 14w = -6 + -12 Combine like terms: -6 + -12 = -18 14w = -18 Divide each side by '14'. w = -1.285714286 Simplifying w = -1.285714286
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