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Simplifying 2 = -6w + 4(w + 2) Reorder the terms: 2 = -6w + 4(2 + w) 2 = -6w + (2 * 4 + w * 4) 2 = -6w + (8 + 4w) Reorder the terms: 2 = 8 + -6w + 4w Combine like terms: -6w + 4w = -2w 2 = 8 + -2w Solving 2 = 8 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 2 + 2w = 8 + -2w + 2w Combine like terms: -2w + 2w = 0 2 + 2w = 8 + 0 2 + 2w = 8 Add '-2' to each side of the equation. 2 + -2 + 2w = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 2w = 8 + -2 2w = 8 + -2 Combine like terms: 8 + -2 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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