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Simplifying 10 + -2 + -1(5a + 3) + -4a + 3 + -1(2a + 1) = 0 Reorder the terms: 10 + -2 + -1(3 + 5a) + -4a + 3 + -1(2a + 1) = 0 10 + -2 + (3 * -1 + 5a * -1) + -4a + 3 + -1(2a + 1) = 0 10 + -2 + (-3 + -5a) + -4a + 3 + -1(2a + 1) = 0 Reorder the terms: 10 + -2 + -3 + -5a + -4a + 3 + -1(1 + 2a) = 0 10 + -2 + -3 + -5a + -4a + 3 + (1 * -1 + 2a * -1) = 0 10 + -2 + -3 + -5a + -4a + 3 + (-1 + -2a) = 0 Reorder the terms: 10 + -2 + -3 + 3 + -1 + -5a + -4a + -2a = 0 Combine like terms: 10 + -2 = 8 8 + -3 + 3 + -1 + -5a + -4a + -2a = 0 Combine like terms: 8 + -3 = 5 5 + 3 + -1 + -5a + -4a + -2a = 0 Combine like terms: 5 + 3 = 8 8 + -1 + -5a + -4a + -2a = 0 Combine like terms: 8 + -1 = 7 7 + -5a + -4a + -2a = 0 Combine like terms: -5a + -4a = -9a 7 + -9a + -2a = 0 Combine like terms: -9a + -2a = -11a 7 + -11a = 0 Solving 7 + -11a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -11a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -11a = 0 + -7 -11a = 0 + -7 Combine like terms: 0 + -7 = -7 -11a = -7 Divide each side by '-11'. a = 0.6363636364 Simplifying a = 0.6363636364
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