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Simplifying -5w + 23 + -1(-29 + -4w + 9) = 0 Reorder the terms: -5w + 23 + -1(-29 + 9 + -4w) = 0 Combine like terms: -29 + 9 = -20 -5w + 23 + -1(-20 + -4w) = 0 -5w + 23 + (-20 * -1 + -4w * -1) = 0 -5w + 23 + (20 + 4w) = 0 Reorder the terms: 23 + 20 + -5w + 4w = 0 Combine like terms: 23 + 20 = 43 43 + -5w + 4w = 0 Combine like terms: -5w + 4w = -1w 43 + -1w = 0 Solving 43 + -1w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -1w = 0 + -43 Combine like terms: 43 + -43 = 0 0 + -1w = 0 + -43 -1w = 0 + -43 Combine like terms: 0 + -43 = -43 -1w = -43 Divide each side by '-1'. w = 43 Simplifying w = 43
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