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Simplifying 3(4a + 9) + -10(a + -6) = 0 Reorder the terms: 3(9 + 4a) + -10(a + -6) = 0 (9 * 3 + 4a * 3) + -10(a + -6) = 0 (27 + 12a) + -10(a + -6) = 0 Reorder the terms: 27 + 12a + -10(-6 + a) = 0 27 + 12a + (-6 * -10 + a * -10) = 0 27 + 12a + (60 + -10a) = 0 Reorder the terms: 27 + 60 + 12a + -10a = 0 Combine like terms: 27 + 60 = 87 87 + 12a + -10a = 0 Combine like terms: 12a + -10a = 2a 87 + 2a = 0 Solving 87 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-87' to each side of the equation. 87 + -87 + 2a = 0 + -87 Combine like terms: 87 + -87 = 0 0 + 2a = 0 + -87 2a = 0 + -87 Combine like terms: 0 + -87 = -87 2a = -87 Divide each side by '2'. a = -43.5 Simplifying a = -43.5
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