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Simplifying 43 = 4w + -9 Reorder the terms: 43 = -9 + 4w Solving 43 = -9 + 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. 43 + -4w = -9 + 4w + -4w Combine like terms: 4w + -4w = 0 43 + -4w = -9 + 0 43 + -4w = -9 Add '-43' to each side of the equation. 43 + -43 + -4w = -9 + -43 Combine like terms: 43 + -43 = 0 0 + -4w = -9 + -43 -4w = -9 + -43 Combine like terms: -9 + -43 = -52 -4w = -52 Divide each side by '-4'. w = 13 Simplifying w = 13
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