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Simplifying 6w + -6 + 2(5w + 9) = -2(w + 2) Reorder the terms: 6w + -6 + 2(9 + 5w) = -2(w + 2) 6w + -6 + (9 * 2 + 5w * 2) = -2(w + 2) 6w + -6 + (18 + 10w) = -2(w + 2) Reorder the terms: -6 + 18 + 6w + 10w = -2(w + 2) Combine like terms: -6 + 18 = 12 12 + 6w + 10w = -2(w + 2) Combine like terms: 6w + 10w = 16w 12 + 16w = -2(w + 2) Reorder the terms: 12 + 16w = -2(2 + w) 12 + 16w = (2 * -2 + w * -2) 12 + 16w = (-4 + -2w) Solving 12 + 16w = -4 + -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 = -4 + -2w + 2w Combine like terms: 16w + 2w = 18w 12 + 18w = -4 + -2w + 2w Combine like terms: -2w + 2w = 0 12 + 18w = -4 + 0 12 + 18w = -4 Add '-12' to each side of the equation. 12 + -12 + 18w = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 18w = -4 + -12 18w = -4 + -12 Combine like terms: -4 + -12 = -16 18w = -16 Divide each side by '18'. w = -0.8888888889 Simplifying w = -0.8888888889
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