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Simplifying 1 + -1[5a + -3(3a + 1)] = 12 Reorder the terms: 1 + -1[5a + -3(1 + 3a)] = 12 1 + -1[5a + (1 * -3 + 3a * -3)] = 12 1 + -1[5a + (-3 + -9a)] = 12 Reorder the terms: 1 + -1[-3 + 5a + -9a] = 12 Combine like terms: 5a + -9a = -4a 1 + -1[-3 + -4a] = 12 1 + [-3 * -1 + -4a * -1] = 12 1 + [3 + 4a] = 12 Combine like terms: 1 + 3 = 4 4 + 4a = 12 Solving 4 + 4a = 12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 4a = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 4a = 12 + -4 4a = 12 + -4 Combine like terms: 12 + -4 = 8 4a = 8 Divide each side by '4'. a = 2 Simplifying a = 2
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