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Simplifying 3a + 2(2 + 3(a + -1)) = 2(3a + 4) Reorder the terms: 3a + 2(2 + 3(-1 + a)) = 2(3a + 4) 3a + 2(2 + (-1 * 3 + a * 3)) = 2(3a + 4) 3a + 2(2 + (-3 + 3a)) = 2(3a + 4) Combine like terms: 2 + -3 = -1 3a + 2(-1 + 3a) = 2(3a + 4) 3a + (-1 * 2 + 3a * 2) = 2(3a + 4) 3a + (-2 + 6a) = 2(3a + 4) Reorder the terms: -2 + 3a + 6a = 2(3a + 4) Combine like terms: 3a + 6a = 9a -2 + 9a = 2(3a + 4) Reorder the terms: -2 + 9a = 2(4 + 3a) -2 + 9a = (4 * 2 + 3a * 2) -2 + 9a = (8 + 6a) Solving -2 + 9a = 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 + 9a + -6a = 8 + 6a + -6a Combine like terms: 9a + -6a = 3a -2 + 3a = 8 + 6a + -6a Combine like terms: 6a + -6a = 0 -2 + 3a = 8 + 0 -2 + 3a = 8 Add '2' to each side of the equation. -2 + 2 + 3a = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 3a = 8 + 2 3a = 8 + 2 Combine like terms: 8 + 2 = 10 3a = 10 Divide each side by '3'. a = 3.333333333 Simplifying a = 3.333333333
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