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Simplifying 9(2a + w) + -4w = 3w + -10 (2a * 9 + w * 9) + -4w = 3w + -10 (18a + 9w) + -4w = 3w + -10 Combine like terms: 9w + -4w = 5w 18a + 5w = 3w + -10 Reorder the terms: 18a + 5w = -10 + 3w Solving 18a + 5w = -10 + 3w Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5w' to each side of the equation. 18a + 5w + -5w = -10 + 3w + -5w Combine like terms: 5w + -5w = 0 18a + 0 = -10 + 3w + -5w 18a = -10 + 3w + -5w Combine like terms: 3w + -5w = -2w 18a = -10 + -2w Divide each side by '18'. a = -0.5555555556 + -0.1111111111w Simplifying a = -0.5555555556 + -0.1111111111w
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