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Simplifying 2a + 3[4(2 + -1a) + -6(1 + a)] = 5 2a + 3[(2 * 4 + -1a * 4) + -6(1 + a)] = 5 2a + 3[(8 + -4a) + -6(1 + a)] = 5 2a + 3[8 + -4a + (1 * -6 + a * -6)] = 5 2a + 3[8 + -4a + (-6 + -6a)] = 5 Reorder the terms: 2a + 3[8 + -6 + -4a + -6a] = 5 Combine like terms: 8 + -6 = 2 2a + 3[2 + -4a + -6a] = 5 Combine like terms: -4a + -6a = -10a 2a + 3[2 + -10a] = 5 2a + [2 * 3 + -10a * 3] = 5 2a + [6 + -30a] = 5 Reorder the terms: 6 + 2a + -30a = 5 Combine like terms: 2a + -30a = -28a 6 + -28a = 5 Solving 6 + -28a = 5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -28a = 5 + -6 Combine like terms: 6 + -6 = 0 0 + -28a = 5 + -6 -28a = 5 + -6 Combine like terms: 5 + -6 = -1 -28a = -1 Divide each side by '-28'. a = 0.03571428571 Simplifying a = 0.03571428571
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