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Simplifying 3a + -1[2a + 3(1 + -1a)] = a * 2 3a + -1[2a + (1 * 3 + -1a * 3)] = a * 2 3a + -1[2a + (3 + -3a)] = a * 2 Reorder the terms: 3a + -1[3 + 2a + -3a] = a * 2 Combine like terms: 2a + -3a = -1a 3a + -1[3 + -1a] = a * 2 3a + [3 * -1 + -1a * -1] = a * 2 3a + [-3 + 1a] = a * 2 Reorder the terms: -3 + 3a + 1a = a * 2 Combine like terms: 3a + 1a = 4a -3 + 4a = a * 2 Reorder the terms for easier multiplication: -3 + 4a = 2a Solving -3 + 4a = 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -3 + 4a + -2a = 2a + -2a Combine like terms: 4a + -2a = 2a -3 + 2a = 2a + -2a Combine like terms: 2a + -2a = 0 -3 + 2a = 0 Add '3' to each side of the equation. -3 + 3 + 2a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2a = 0 + 3 2a = 0 + 3 Combine like terms: 0 + 3 = 3 2a = 3 Divide each side by '2'. a = 1.5 Simplifying a = 1.5
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