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Simplifying 3a + 2[2 + 3(9 + -1)] = 2(3a + 4) Combine like terms: 9 + -1 = 8 3a + 2[2 + 3(8)] = 2(3a + 4) Multiply 3 * 8 3a + 2[2 + 24] = 2(3a + 4) Combine like terms: 2 + 24 = 26 3a + 2[26] = 2(3a + 4) Multiply 2 * 26 3a + 52 = 2(3a + 4) Reorder the terms: 52 + 3a = 2(3a + 4) Reorder the terms: 52 + 3a = 2(4 + 3a) 52 + 3a = (4 * 2 + 3a * 2) 52 + 3a = (8 + 6a) Solving 52 + 3a = 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. 52 + 3a + -6a = 8 + 6a + -6a Combine like terms: 3a + -6a = -3a 52 + -3a = 8 + 6a + -6a Combine like terms: 6a + -6a = 0 52 + -3a = 8 + 0 52 + -3a = 8 Add '-52' to each side of the equation. 52 + -52 + -3a = 8 + -52 Combine like terms: 52 + -52 = 0 0 + -3a = 8 + -52 -3a = 8 + -52 Combine like terms: 8 + -52 = -44 -3a = -44 Divide each side by '-3'. a = 14.66666667 Simplifying a = 14.66666667
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