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Simplifying -5(w + -7) + 9w + 2 = 0 Reorder the terms: -5(-7 + w) + 9w + 2 = 0 (-7 * -5 + w * -5) + 9w + 2 = 0 (35 + -5w) + 9w + 2 = 0 Reorder the terms: 35 + 2 + -5w + 9w = 0 Combine like terms: 35 + 2 = 37 37 + -5w + 9w = 0 Combine like terms: -5w + 9w = 4w 37 + 4w = 0 Solving 37 + 4w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 4w = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 4w = 0 + -37 4w = 0 + -37 Combine like terms: 0 + -37 = -37 4w = -37 Divide each side by '4'. w = -9.25 Simplifying w = -9.25
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