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Simplifying 7(a + 2) + 3(2a + -1) = -2 Reorder the terms: 7(2 + a) + 3(2a + -1) = -2 (2 * 7 + a * 7) + 3(2a + -1) = -2 (14 + 7a) + 3(2a + -1) = -2 Reorder the terms: 14 + 7a + 3(-1 + 2a) = -2 14 + 7a + (-1 * 3 + 2a * 3) = -2 14 + 7a + (-3 + 6a) = -2 Reorder the terms: 14 + -3 + 7a + 6a = -2 Combine like terms: 14 + -3 = 11 11 + 7a + 6a = -2 Combine like terms: 7a + 6a = 13a 11 + 13a = -2 Solving 11 + 13a = -2 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 + 13a = -2 + -11 Combine like terms: 11 + -11 = 0 0 + 13a = -2 + -11 13a = -2 + -11 Combine like terms: -2 + -11 = -13 13a = -13 Divide each side by '13'. a = -1 Simplifying a = -1
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