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Simplifying 15(2a + -1) + 9(3a + 4) = 0 Reorder the terms: 15(-1 + 2a) + 9(3a + 4) = 0 (-1 * 15 + 2a * 15) + 9(3a + 4) = 0 (-15 + 30a) + 9(3a + 4) = 0 Reorder the terms: -15 + 30a + 9(4 + 3a) = 0 -15 + 30a + (4 * 9 + 3a * 9) = 0 -15 + 30a + (36 + 27a) = 0 Reorder the terms: -15 + 36 + 30a + 27a = 0 Combine like terms: -15 + 36 = 21 21 + 30a + 27a = 0 Combine like terms: 30a + 27a = 57a 21 + 57a = 0 Solving 21 + 57a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 57a = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 57a = 0 + -21 57a = 0 + -21 Combine like terms: 0 + -21 = -21 57a = -21 Divide each side by '57'. a = -0.3684210526 Simplifying a = -0.3684210526
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