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Simplifying 10(6a + 3) + -1(9a + 3) = 0 Reorder the terms: 10(3 + 6a) + -1(9a + 3) = 0 (3 * 10 + 6a * 10) + -1(9a + 3) = 0 (30 + 60a) + -1(9a + 3) = 0 Reorder the terms: 30 + 60a + -1(3 + 9a) = 0 30 + 60a + (3 * -1 + 9a * -1) = 0 30 + 60a + (-3 + -9a) = 0 Reorder the terms: 30 + -3 + 60a + -9a = 0 Combine like terms: 30 + -3 = 27 27 + 60a + -9a = 0 Combine like terms: 60a + -9a = 51a 27 + 51a = 0 Solving 27 + 51a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 51a = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 51a = 0 + -27 51a = 0 + -27 Combine like terms: 0 + -27 = -27 51a = -27 Divide each side by '51'. a = -0.5294117647 Simplifying a = -0.5294117647
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