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Simplifying -4(-4w + 2) + -2w = 4(w + -5) + -6 Reorder the terms: -4(2 + -4w) + -2w = 4(w + -5) + -6 (2 * -4 + -4w * -4) + -2w = 4(w + -5) + -6 (-8 + 16w) + -2w = 4(w + -5) + -6 Combine like terms: 16w + -2w = 14w -8 + 14w = 4(w + -5) + -6 Reorder the terms: -8 + 14w = 4(-5 + w) + -6 -8 + 14w = (-5 * 4 + w * 4) + -6 -8 + 14w = (-20 + 4w) + -6 Reorder the terms: -8 + 14w = -20 + -6 + 4w Combine like terms: -20 + -6 = -26 -8 + 14w = -26 + 4w Solving -8 + 14w = -26 + 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. -8 + 14w + -4w = -26 + 4w + -4w Combine like terms: 14w + -4w = 10w -8 + 10w = -26 + 4w + -4w Combine like terms: 4w + -4w = 0 -8 + 10w = -26 + 0 -8 + 10w = -26 Add '8' to each side of the equation. -8 + 8 + 10w = -26 + 8 Combine like terms: -8 + 8 = 0 0 + 10w = -26 + 8 10w = -26 + 8 Combine like terms: -26 + 8 = -18 10w = -18 Divide each side by '10'. w = -1.8 Simplifying w = -1.8
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