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Simplifying 3w + -4 = 10 + -4w Reorder the terms: -4 + 3w = 10 + -4w Solving -4 + 3w = 10 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -4 + 3w + 4w = 10 + -4w + 4w Combine like terms: 3w + 4w = 7w -4 + 7w = 10 + -4w + 4w Combine like terms: -4w + 4w = 0 -4 + 7w = 10 + 0 -4 + 7w = 10 Add '4' to each side of the equation. -4 + 4 + 7w = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 7w = 10 + 4 7w = 10 + 4 Combine like terms: 10 + 4 = 14 7w = 14 Divide each side by '7'. w = 2 Simplifying w = 2
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