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Simplifying 2w + -8 + 2(5w + 7) = -4(w + 3) Reorder the terms: 2w + -8 + 2(7 + 5w) = -4(w + 3) 2w + -8 + (7 * 2 + 5w * 2) = -4(w + 3) 2w + -8 + (14 + 10w) = -4(w + 3) Reorder the terms: -8 + 14 + 2w + 10w = -4(w + 3) Combine like terms: -8 + 14 = 6 6 + 2w + 10w = -4(w + 3) Combine like terms: 2w + 10w = 12w 6 + 12w = -4(w + 3) Reorder the terms: 6 + 12w = -4(3 + w) 6 + 12w = (3 * -4 + w * -4) 6 + 12w = (-12 + -4w) Solving 6 + 12w = -12 + -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. 6 + 12w + 4w = -12 + -4w + 4w Combine like terms: 12w + 4w = 16w 6 + 16w = -12 + -4w + 4w Combine like terms: -4w + 4w = 0 6 + 16w = -12 + 0 6 + 16w = -12 Add '-6' to each side of the equation. 6 + -6 + 16w = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 16w = -12 + -6 16w = -12 + -6 Combine like terms: -12 + -6 = -18 16w = -18 Divide each side by '16'. w = -1.125 Simplifying w = -1.125
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