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Simplifying 8w + -4 + 2(2w + 2) = -6(w + 2) Reorder the terms: 8w + -4 + 2(2 + 2w) = -6(w + 2) 8w + -4 + (2 * 2 + 2w * 2) = -6(w + 2) 8w + -4 + (4 + 4w) = -6(w + 2) Reorder the terms: -4 + 4 + 8w + 4w = -6(w + 2) Combine like terms: -4 + 4 = 0 0 + 8w + 4w = -6(w + 2) 8w + 4w = -6(w + 2) Combine like terms: 8w + 4w = 12w 12w = -6(w + 2) Reorder the terms: 12w = -6(2 + w) 12w = (2 * -6 + w * -6) 12w = (-12 + -6w) Solving 12w = -12 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 12w + 6w = -12 + -6w + 6w Combine like terms: 12w + 6w = 18w 18w = -12 + -6w + 6w Combine like terms: -6w + 6w = 0 18w = -12 + 0 18w = -12 Divide each side by '18'. w = -0.6666666667 Simplifying w = -0.6666666667
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