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Simplifying -5(w + -7) + 9w + 3 = 0 Reorder the terms: -5(-7 + w) + 9w + 3 = 0 (-7 * -5 + w * -5) + 9w + 3 = 0 (35 + -5w) + 9w + 3 = 0 Reorder the terms: 35 + 3 + -5w + 9w = 0 Combine like terms: 35 + 3 = 38 38 + -5w + 9w = 0 Combine like terms: -5w + 9w = 4w 38 + 4w = 0 Solving 38 + 4w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 4w = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 4w = 0 + -38 4w = 0 + -38 Combine like terms: 0 + -38 = -38 4w = -38 Divide each side by '4'. w = -9.5 Simplifying w = -9.5
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