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Simplifying (43 + -3w) = (w + 9) Remove parenthesis around (43 + -3w) 43 + -3w = (w + 9) Reorder the terms: 43 + -3w = (9 + w) Remove parenthesis around (9 + w) 43 + -3w = 9 + w Solving 43 + -3w = 9 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 43 + -3w + -1w = 9 + w + -1w Combine like terms: -3w + -1w = -4w 43 + -4w = 9 + w + -1w Combine like terms: w + -1w = 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 = -34 -4w = -34 Divide each side by '-4'. w = 8.5 Simplifying w = 8.5
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