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