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Simplifying 4w + -6 + w + 4w + -6 + w = 38 Reorder the terms: -6 + -6 + 4w + w + 4w + w = 38 Combine like terms: -6 + -6 = -12 -12 + 4w + w + 4w + w = 38 Combine like terms: 4w + w = 5w -12 + 5w + 4w + w = 38 Combine like terms: 5w + 4w = 9w -12 + 9w + w = 38 Combine like terms: 9w + w = 10w -12 + 10w = 38 Solving -12 + 10w = 38 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 10w = 38 + 12 Combine like terms: -12 + 12 = 0 0 + 10w = 38 + 12 10w = 38 + 12 Combine like terms: 38 + 12 = 50 10w = 50 Divide each side by '10'. w = 5 Simplifying w = 5
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