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Simplifying 2w + 2(6w + -25) = 118 Reorder the terms: 2w + 2(-25 + 6w) = 118 2w + (-25 * 2 + 6w * 2) = 118 2w + (-50 + 12w) = 118 Reorder the terms: -50 + 2w + 12w = 118 Combine like terms: 2w + 12w = 14w -50 + 14w = 118 Solving -50 + 14w = 118 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 14w = 118 + 50 Combine like terms: -50 + 50 = 0 0 + 14w = 118 + 50 14w = 118 + 50 Combine like terms: 118 + 50 = 168 14w = 168 Divide each side by '14'. w = 12 Simplifying w = 12
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