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Simplifying 4[11a + 7a + -5(3a + -1)] = 3a + 2 Reorder the terms: 4[11a + 7a + -5(-1 + 3a)] = 3a + 2 4[11a + 7a + (-1 * -5 + 3a * -5)] = 3a + 2 4[11a + 7a + (5 + -15a)] = 3a + 2 Reorder the terms: 4[5 + 11a + 7a + -15a] = 3a + 2 Combine like terms: 11a + 7a = 18a 4[5 + 18a + -15a] = 3a + 2 Combine like terms: 18a + -15a = 3a 4[5 + 3a] = 3a + 2 [5 * 4 + 3a * 4] = 3a + 2 [20 + 12a] = 3a + 2 Reorder the terms: 20 + 12a = 2 + 3a Solving 20 + 12a = 2 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 20 + 12a + -3a = 2 + 3a + -3a Combine like terms: 12a + -3a = 9a 20 + 9a = 2 + 3a + -3a Combine like terms: 3a + -3a = 0 20 + 9a = 2 + 0 20 + 9a = 2 Add '-20' to each side of the equation. 20 + -20 + 9a = 2 + -20 Combine like terms: 20 + -20 = 0 0 + 9a = 2 + -20 9a = 2 + -20 Combine like terms: 2 + -20 = -18 9a = -18 Divide each side by '9'. a = -2 Simplifying a = -2
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