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Simplifying 2w + 8 + 3(2w + 2) = -4(w + 3) Reorder the terms: 2w + 8 + 3(2 + 2w) = -4(w + 3) 2w + 8 + (2 * 3 + 2w * 3) = -4(w + 3) 2w + 8 + (6 + 6w) = -4(w + 3) Reorder the terms: 8 + 6 + 2w + 6w = -4(w + 3) Combine like terms: 8 + 6 = 14 14 + 2w + 6w = -4(w + 3) Combine like terms: 2w + 6w = 8w 14 + 8w = -4(w + 3) Reorder the terms: 14 + 8w = -4(3 + w) 14 + 8w = (3 * -4 + w * -4) 14 + 8w = (-12 + -4w) Solving 14 + 8w = -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. 14 + 8w + 4w = -12 + -4w + 4w Combine like terms: 8w + 4w = 12w 14 + 12w = -12 + -4w + 4w Combine like terms: -4w + 4w = 0 14 + 12w = -12 + 0 14 + 12w = -12 Add '-14' to each side of the equation. 14 + -14 + 12w = -12 + -14 Combine like terms: 14 + -14 = 0 0 + 12w = -12 + -14 12w = -12 + -14 Combine like terms: -12 + -14 = -26 12w = -26 Divide each side by '12'. w = -2.166666667 Simplifying w = -2.166666667
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