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Simplifying -4(4w + -2) + 2w = 4(w + 5) Reorder the terms: -4(-2 + 4w) + 2w = 4(w + 5) (-2 * -4 + 4w * -4) + 2w = 4(w + 5) (8 + -16w) + 2w = 4(w + 5) Combine like terms: -16w + 2w = -14w 8 + -14w = 4(w + 5) Reorder the terms: 8 + -14w = 4(5 + w) 8 + -14w = (5 * 4 + w * 4) 8 + -14w = (20 + 4w) Solving 8 + -14w = 20 + 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 = 20 + 4w + -4w Combine like terms: -14w + -4w = -18w 8 + -18w = 20 + 4w + -4w Combine like terms: 4w + -4w = 0 8 + -18w = 20 + 0 8 + -18w = 20 Add '-8' to each side of the equation. 8 + -8 + -18w = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -18w = 20 + -8 -18w = 20 + -8 Combine like terms: 20 + -8 = 12 -18w = 12 Divide each side by '-18'. w = -0.6666666667 Simplifying w = -0.6666666667
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