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Simplifying 3a + -1[2a + 3(1 + -1a)] = 2 3a + -1[2a + (1 * 3 + -1a * 3)] = 2 3a + -1[2a + (3 + -3a)] = 2 Reorder the terms: 3a + -1[3 + 2a + -3a] = 2 Combine like terms: 2a + -3a = -1a 3a + -1[3 + -1a] = 2 3a + [3 * -1 + -1a * -1] = 2 3a + [-3 + 1a] = 2 Reorder the terms: -3 + 3a + 1a = 2 Combine like terms: 3a + 1a = 4a -3 + 4a = 2 Solving -3 + 4a = 2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4a = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 4a = 2 + 3 4a = 2 + 3 Combine like terms: 2 + 3 = 5 4a = 5 Divide each side by '4'. a = 1.25 Simplifying a = 1.25
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