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Simplifying 3a + 2[2 + 39a + -1] = 2(3a + 4) Reorder the terms: 3a + 2[2 + -1 + 39a] = 2(3a + 4) Combine like terms: 2 + -1 = 1 3a + 2[1 + 39a] = 2(3a + 4) 3a + [1 * 2 + 39a * 2] = 2(3a + 4) 3a + [2 + 78a] = 2(3a + 4) Reorder the terms: 2 + 3a + 78a = 2(3a + 4) Combine like terms: 3a + 78a = 81a 2 + 81a = 2(3a + 4) Reorder the terms: 2 + 81a = 2(4 + 3a) 2 + 81a = (4 * 2 + 3a * 2) 2 + 81a = (8 + 6a) Solving 2 + 81a = 8 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 2 + 81a + -6a = 8 + 6a + -6a Combine like terms: 81a + -6a = 75a 2 + 75a = 8 + 6a + -6a Combine like terms: 6a + -6a = 0 2 + 75a = 8 + 0 2 + 75a = 8 Add '-2' to each side of the equation. 2 + -2 + 75a = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 75a = 8 + -2 75a = 8 + -2 Combine like terms: 8 + -2 = 6 75a = 6 Divide each side by '75'. a = 0.08 Simplifying a = 0.08
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