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Simplifying 2w + 4 + -4(-4w + -2) = 4(w + -1) Reorder the terms: 2w + 4 + -4(-2 + -4w) = 4(w + -1) 2w + 4 + (-2 * -4 + -4w * -4) = 4(w + -1) 2w + 4 + (8 + 16w) = 4(w + -1) Reorder the terms: 4 + 8 + 2w + 16w = 4(w + -1) Combine like terms: 4 + 8 = 12 12 + 2w + 16w = 4(w + -1) Combine like terms: 2w + 16w = 18w 12 + 18w = 4(w + -1) Reorder the terms: 12 + 18w = 4(-1 + w) 12 + 18w = (-1 * 4 + w * 4) 12 + 18w = (-4 + 4w) Solving 12 + 18w = -4 + 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. 12 + 18w + -4w = -4 + 4w + -4w Combine like terms: 18w + -4w = 14w 12 + 14w = -4 + 4w + -4w Combine like terms: 4w + -4w = 0 12 + 14w = -4 + 0 12 + 14w = -4 Add '-12' to each side of the equation. 12 + -12 + 14w = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 14w = -4 + -12 14w = -4 + -12 Combine like terms: -4 + -12 = -16 14w = -16 Divide each side by '14'. w = -1.142857143 Simplifying w = -1.142857143
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