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Simplifying -2(4w + -2) + 8w = 6(w + 2) Reorder the terms: -2(-2 + 4w) + 8w = 6(w + 2) (-2 * -2 + 4w * -2) + 8w = 6(w + 2) (4 + -8w) + 8w = 6(w + 2) Combine like terms: -8w + 8w = 0 4 + 0 = 6(w + 2) 4 = 6(w + 2) Reorder the terms: 4 = 6(2 + w) 4 = (2 * 6 + w * 6) 4 = (12 + 6w) Solving 4 = 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. 4 + -6w = 12 + 6w + -6w Combine like terms: 6w + -6w = 0 4 + -6w = 12 + 0 4 + -6w = 12 Add '-4' to each side of the equation. 4 + -4 + -6w = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -6w = 12 + -4 -6w = 12 + -4 Combine like terms: 12 + -4 = 8 -6w = 8 Divide each side by '-6'. w = -1.333333333 Simplifying w = -1.333333333
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