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Simplifying -5(w + -7) + 9w + 1 = 0 Reorder the terms: -5(-7 + w) + 9w + 1 = 0 (-7 * -5 + w * -5) + 9w + 1 = 0 (35 + -5w) + 9w + 1 = 0 Reorder the terms: 35 + 1 + -5w + 9w = 0 Combine like terms: 35 + 1 = 36 36 + -5w + 9w = 0 Combine like terms: -5w + 9w = 4w 36 + 4w = 0 Solving 36 + 4w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 4w = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 4w = 0 + -36 4w = 0 + -36 Combine like terms: 0 + -36 = -36 4w = -36 Divide each side by '4'. w = -9 Simplifying w = -9
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