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Simplifying 3w + (-4) + 4w = 17 3w + -4 + 4w = 17 Reorder the terms: -4 + 3w + 4w = 17 Combine like terms: 3w + 4w = 7w -4 + 7w = 17 Solving -4 + 7w = 17 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7w = 17 + 4 Combine like terms: -4 + 4 = 0 0 + 7w = 17 + 4 7w = 17 + 4 Combine like terms: 17 + 4 = 21 7w = 21 Divide each side by '7'. w = 3 Simplifying w = 3
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