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Simplifying 10 + -1[2 + -1(5a + 3) + -4a] + 3(2a + 1) = 0 Reorder the terms: 10 + -1[2 + -1(3 + 5a) + -4a] + 3(2a + 1) = 0 10 + -1[2 + (3 * -1 + 5a * -1) + -4a] + 3(2a + 1) = 0 10 + -1[2 + (-3 + -5a) + -4a] + 3(2a + 1) = 0 Combine like terms: 2 + -3 = -1 10 + -1[-1 + -5a + -4a] + 3(2a + 1) = 0 Combine like terms: -5a + -4a = -9a 10 + -1[-1 + -9a] + 3(2a + 1) = 0 10 + [-1 * -1 + -9a * -1] + 3(2a + 1) = 0 10 + [1 + 9a] + 3(2a + 1) = 0 Reorder the terms: 10 + 1 + 9a + 3(1 + 2a) = 0 10 + 1 + 9a + (1 * 3 + 2a * 3) = 0 10 + 1 + 9a + (3 + 6a) = 0 Reorder the terms: 10 + 1 + 3 + 9a + 6a = 0 Combine like terms: 10 + 1 = 11 11 + 3 + 9a + 6a = 0 Combine like terms: 11 + 3 = 14 14 + 9a + 6a = 0 Combine like terms: 9a + 6a = 15a 14 + 15a = 0 Solving 14 + 15a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 15a = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 15a = 0 + -14 15a = 0 + -14 Combine like terms: 0 + -14 = -14 15a = -14 Divide each side by '15'. a = -0.9333333333 Simplifying a = -0.9333333333
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