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Simplifying 2w + 2(4w + -3) = 14 Reorder the terms: 2w + 2(-3 + 4w) = 14 2w + (-3 * 2 + 4w * 2) = 14 2w + (-6 + 8w) = 14 Reorder the terms: -6 + 2w + 8w = 14 Combine like terms: 2w + 8w = 10w -6 + 10w = 14 Solving -6 + 10w = 14 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 10w = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 10w = 14 + 6 10w = 14 + 6 Combine like terms: 14 + 6 = 20 10w = 20 Divide each side by '10'. w = 2 Simplifying w = 2
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