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Simplifying 4w + -9 = 3w + 2 Reorder the terms: -9 + 4w = 3w + 2 Reorder the terms: -9 + 4w = 2 + 3w Solving -9 + 4w = 2 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -9 + 4w + -3w = 2 + 3w + -3w Combine like terms: 4w + -3w = 1w -9 + 1w = 2 + 3w + -3w Combine like terms: 3w + -3w = 0 -9 + 1w = 2 + 0 -9 + 1w = 2 Add '9' to each side of the equation. -9 + 9 + 1w = 2 + 9 Combine like terms: -9 + 9 = 0 0 + 1w = 2 + 9 1w = 2 + 9 Combine like terms: 2 + 9 = 11 1w = 11 Divide each side by '1'. w = 11 Simplifying w = 11
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