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Simplifying 2(2a + 4) + -3(a + -1) = 14 Reorder the terms: 2(4 + 2a) + -3(a + -1) = 14 (4 * 2 + 2a * 2) + -3(a + -1) = 14 (8 + 4a) + -3(a + -1) = 14 Reorder the terms: 8 + 4a + -3(-1 + a) = 14 8 + 4a + (-1 * -3 + a * -3) = 14 8 + 4a + (3 + -3a) = 14 Reorder the terms: 8 + 3 + 4a + -3a = 14 Combine like terms: 8 + 3 = 11 11 + 4a + -3a = 14 Combine like terms: 4a + -3a = 1a 11 + 1a = 14 Solving 11 + 1a = 14 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 1a = 14 + -11 Combine like terms: 11 + -11 = 0 0 + 1a = 14 + -11 1a = 14 + -11 Combine like terms: 14 + -11 = 3 1a = 3 Divide each side by '1'. a = 3 Simplifying a = 3
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