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Simplifying 2w + 2(4w + -1) = 118 Reorder the terms: 2w + 2(-1 + 4w) = 118 2w + (-1 * 2 + 4w * 2) = 118 2w + (-2 + 8w) = 118 Reorder the terms: -2 + 2w + 8w = 118 Combine like terms: 2w + 8w = 10w -2 + 10w = 118 Solving -2 + 10w = 118 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 + 10w = 118 + 2 Combine like terms: -2 + 2 = 0 0 + 10w = 118 + 2 10w = 118 + 2 Combine like terms: 118 + 2 = 120 10w = 120 Divide each side by '10'. w = 12 Simplifying w = 12
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