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Simplifying 4(w + 5) + 3(w + -1) = 0 Reorder the terms: 4(5 + w) + 3(w + -1) = 0 (5 * 4 + w * 4) + 3(w + -1) = 0 (20 + 4w) + 3(w + -1) = 0 Reorder the terms: 20 + 4w + 3(-1 + w) = 0 20 + 4w + (-1 * 3 + w * 3) = 0 20 + 4w + (-3 + 3w) = 0 Reorder the terms: 20 + -3 + 4w + 3w = 0 Combine like terms: 20 + -3 = 17 17 + 4w + 3w = 0 Combine like terms: 4w + 3w = 7w 17 + 7w = 0 Solving 17 + 7w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 7w = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 7w = 0 + -17 7w = 0 + -17 Combine like terms: 0 + -17 = -17 7w = -17 Divide each side by '7'. w = -2.428571429 Simplifying w = -2.428571429
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