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Simplifying 4a + 5[1 + -3(2a + -1)] = 2(2a + 5) Reorder the terms: 4a + 5[1 + -3(-1 + 2a)] = 2(2a + 5) 4a + 5[1 + (-1 * -3 + 2a * -3)] = 2(2a + 5) 4a + 5[1 + (3 + -6a)] = 2(2a + 5) Combine like terms: 1 + 3 = 4 4a + 5[4 + -6a] = 2(2a + 5) 4a + [4 * 5 + -6a * 5] = 2(2a + 5) 4a + [20 + -30a] = 2(2a + 5) Reorder the terms: 20 + 4a + -30a = 2(2a + 5) Combine like terms: 4a + -30a = -26a 20 + -26a = 2(2a + 5) Reorder the terms: 20 + -26a = 2(5 + 2a) 20 + -26a = (5 * 2 + 2a * 2) 20 + -26a = (10 + 4a) Solving 20 + -26a = 10 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 20 + -26a + -4a = 10 + 4a + -4a Combine like terms: -26a + -4a = -30a 20 + -30a = 10 + 4a + -4a Combine like terms: 4a + -4a = 0 20 + -30a = 10 + 0 20 + -30a = 10 Add '-20' to each side of the equation. 20 + -20 + -30a = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -30a = 10 + -20 -30a = 10 + -20 Combine like terms: 10 + -20 = -10 -30a = -10 Divide each side by '-30'. a = 0.3333333333 Simplifying a = 0.3333333333
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