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Simplifying 9(5a + -2) + 7(3 + -4a) = 0 Reorder the terms: 9(-2 + 5a) + 7(3 + -4a) = 0 (-2 * 9 + 5a * 9) + 7(3 + -4a) = 0 (-18 + 45a) + 7(3 + -4a) = 0 -18 + 45a + (3 * 7 + -4a * 7) = 0 -18 + 45a + (21 + -28a) = 0 Reorder the terms: -18 + 21 + 45a + -28a = 0 Combine like terms: -18 + 21 = 3 3 + 45a + -28a = 0 Combine like terms: 45a + -28a = 17a 3 + 17a = 0 Solving 3 + 17a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 17a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 17a = 0 + -3 17a = 0 + -3 Combine like terms: 0 + -3 = -3 17a = -3 Divide each side by '17'. a = -0.1764705882 Simplifying a = -0.1764705882
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