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Simplifying 10 + -1[2 + -1(5a + 3) + -4] + 3 + -1(2a + 1) = 0 Reorder the terms: 10 + -1[2 + -1(3 + 5a) + -4] + 3 + -1(2a + 1) = 0 10 + -1[2 + (3 * -1 + 5a * -1) + -4] + 3 + -1(2a + 1) = 0 10 + -1[2 + (-3 + -5a) + -4] + 3 + -1(2a + 1) = 0 Reorder the terms: 10 + -1[2 + -3 + -4 + -5a] + 3 + -1(2a + 1) = 0 Combine like terms: 2 + -3 = -1 10 + -1[-1 + -4 + -5a] + 3 + -1(2a + 1) = 0 Combine like terms: -1 + -4 = -5 10 + -1[-5 + -5a] + 3 + -1(2a + 1) = 0 10 + [-5 * -1 + -5a * -1] + 3 + -1(2a + 1) = 0 10 + [5 + 5a] + 3 + -1(2a + 1) = 0 Reorder the terms: 10 + 5 + 5a + 3 + -1(1 + 2a) = 0 10 + 5 + 5a + 3 + (1 * -1 + 2a * -1) = 0 10 + 5 + 5a + 3 + (-1 + -2a) = 0 Reorder the terms: 10 + 5 + 3 + -1 + 5a + -2a = 0 Combine like terms: 10 + 5 = 15 15 + 3 + -1 + 5a + -2a = 0 Combine like terms: 15 + 3 = 18 18 + -1 + 5a + -2a = 0 Combine like terms: 18 + -1 = 17 17 + 5a + -2a = 0 Combine like terms: 5a + -2a = 3a 17 + 3a = 0 Solving 17 + 3a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 3a = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 3a = 0 + -17 3a = 0 + -17 Combine like terms: 0 + -17 = -17 3a = -17 Divide each side by '3'. a = -5.666666667 Simplifying a = -5.666666667
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