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Simplifying 3(a + 2) + -7 + 13 + -1(a + 2) = 0 Reorder the terms: 3(2 + a) + -7 + 13 + -1(a + 2) = 0 (2 * 3 + a * 3) + -7 + 13 + -1(a + 2) = 0 (6 + 3a) + -7 + 13 + -1(a + 2) = 0 Reorder the terms: 6 + 3a + -7 + 13 + -1(2 + a) = 0 6 + 3a + -7 + 13 + (2 * -1 + a * -1) = 0 6 + 3a + -7 + 13 + (-2 + -1a) = 0 Reorder the terms: 6 + -7 + 13 + -2 + 3a + -1a = 0 Combine like terms: 6 + -7 = -1 -1 + 13 + -2 + 3a + -1a = 0 Combine like terms: -1 + 13 = 12 12 + -2 + 3a + -1a = 0 Combine like terms: 12 + -2 = 10 10 + 3a + -1a = 0 Combine like terms: 3a + -1a = 2a 10 + 2a = 0 Solving 10 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 2a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2a = 0 + -10 2a = 0 + -10 Combine like terms: 0 + -10 = -10 2a = -10 Divide each side by '2'. a = -5 Simplifying a = -5
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