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Simplifying 3(-6a + 7) + 5(4 + -9a) = 0 Reorder the terms: 3(7 + -6a) + 5(4 + -9a) = 0 (7 * 3 + -6a * 3) + 5(4 + -9a) = 0 (21 + -18a) + 5(4 + -9a) = 0 21 + -18a + (4 * 5 + -9a * 5) = 0 21 + -18a + (20 + -45a) = 0 Reorder the terms: 21 + 20 + -18a + -45a = 0 Combine like terms: 21 + 20 = 41 41 + -18a + -45a = 0 Combine like terms: -18a + -45a = -63a 41 + -63a = 0 Solving 41 + -63a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + -63a = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -63a = 0 + -41 -63a = 0 + -41 Combine like terms: 0 + -41 = -41 -63a = -41 Divide each side by '-63'. a = 0.6507936508 Simplifying a = 0.6507936508
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