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Simplifying 2(w + -2) + 6 = 12 Reorder the terms: 2(-2 + w) + 6 = 12 (-2 * 2 + w * 2) + 6 = 12 (-4 + 2w) + 6 = 12 Reorder the terms: -4 + 6 + 2w = 12 Combine like terms: -4 + 6 = 2 2 + 2w = 12 Solving 2 + 2w = 12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2w = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 2w = 12 + -2 2w = 12 + -2 Combine like terms: 12 + -2 = 10 2w = 10 Divide each side by '2'. w = 5 Simplifying w = 5
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