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Simplifying 4w + -4 + 2(6w + 5) = -2(w + 4) Reorder the terms: 4w + -4 + 2(5 + 6w) = -2(w + 4) 4w + -4 + (5 * 2 + 6w * 2) = -2(w + 4) 4w + -4 + (10 + 12w) = -2(w + 4) Reorder the terms: -4 + 10 + 4w + 12w = -2(w + 4) Combine like terms: -4 + 10 = 6 6 + 4w + 12w = -2(w + 4) Combine like terms: 4w + 12w = 16w 6 + 16w = -2(w + 4) Reorder the terms: 6 + 16w = -2(4 + w) 6 + 16w = (4 * -2 + w * -2) 6 + 16w = (-8 + -2w) Solving 6 + 16w = -8 + -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. 6 + 16w + 2w = -8 + -2w + 2w Combine like terms: 16w + 2w = 18w 6 + 18w = -8 + -2w + 2w Combine like terms: -2w + 2w = 0 6 + 18w = -8 + 0 6 + 18w = -8 Add '-6' to each side of the equation. 6 + -6 + 18w = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 18w = -8 + -6 18w = -8 + -6 Combine like terms: -8 + -6 = -14 18w = -14 Divide each side by '18'. w = -0.7777777778 Simplifying w = -0.7777777778
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