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Simplifying 4(a + 6) + 2(5 + -1a) + -2[3 + -1(a + -2)] = 4 Reorder the terms: 4(6 + a) + 2(5 + -1a) + -2[3 + -1(a + -2)] = 4 (6 * 4 + a * 4) + 2(5 + -1a) + -2[3 + -1(a + -2)] = 4 (24 + 4a) + 2(5 + -1a) + -2[3 + -1(a + -2)] = 4 24 + 4a + (5 * 2 + -1a * 2) + -2[3 + -1(a + -2)] = 4 24 + 4a + (10 + -2a) + -2[3 + -1(a + -2)] = 4 Reorder the terms: 24 + 4a + 10 + -2a + -2[3 + -1(-2 + a)] = 4 24 + 4a + 10 + -2a + -2[3 + (-2 * -1 + a * -1)] = 4 24 + 4a + 10 + -2a + -2[3 + (2 + -1a)] = 4 Combine like terms: 3 + 2 = 5 24 + 4a + 10 + -2a + -2[5 + -1a] = 4 24 + 4a + 10 + -2a + [5 * -2 + -1a * -2] = 4 24 + 4a + 10 + -2a + [-10 + 2a] = 4 Reorder the terms: 24 + 10 + -10 + 4a + -2a + 2a = 4 Combine like terms: 24 + 10 = 34 34 + -10 + 4a + -2a + 2a = 4 Combine like terms: 34 + -10 = 24 24 + 4a + -2a + 2a = 4 Combine like terms: 4a + -2a = 2a 24 + 2a + 2a = 4 Combine like terms: 2a + 2a = 4a 24 + 4a = 4 Solving 24 + 4a = 4 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 4a = 4 + -24 Combine like terms: 24 + -24 = 0 0 + 4a = 4 + -24 4a = 4 + -24 Combine like terms: 4 + -24 = -20 4a = -20 Divide each side by '4'. a = -5 Simplifying a = -5
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