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