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Simplifying 9(2 + w) + -4w = 6a + 1 (2 * 9 + w * 9) + -4w = 6a + 1 (18 + 9w) + -4w = 6a + 1 Combine like terms: 9w + -4w = 5w 18 + 5w = 6a + 1 Reorder the terms: 18 + 5w = 1 + 6a Solving 18 + 5w = 1 + 6a Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 5w = 1 + -18 + 6a Combine like terms: 18 + -18 = 0 0 + 5w = 1 + -18 + 6a 5w = 1 + -18 + 6a Combine like terms: 1 + -18 = -17 5w = -17 + 6a Divide each side by '5'. w = -3.4 + 1.2a Simplifying w = -3.4 + 1.2a
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