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Simplifying 3(a + 2) + 2 = (a + -9) + 3 Reorder the terms: 3(2 + a) + 2 = (a + -9) + 3 (2 * 3 + a * 3) + 2 = (a + -9) + 3 (6 + 3a) + 2 = (a + -9) + 3 Reorder the terms: 6 + 2 + 3a = (a + -9) + 3 Combine like terms: 6 + 2 = 8 8 + 3a = (a + -9) + 3 Reorder the terms: 8 + 3a = (-9 + a) + 3 Remove parenthesis around (-9 + a) 8 + 3a = -9 + a + 3 Reorder the terms: 8 + 3a = -9 + 3 + a Combine like terms: -9 + 3 = -6 8 + 3a = -6 + a Solving 8 + 3a = -6 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 8 + 3a + -1a = -6 + a + -1a Combine like terms: 3a + -1a = 2a 8 + 2a = -6 + a + -1a Combine like terms: a + -1a = 0 8 + 2a = -6 + 0 8 + 2a = -6 Add '-8' to each side of the equation. 8 + -8 + 2a = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 2a = -6 + -8 2a = -6 + -8 Combine like terms: -6 + -8 = -14 2a = -14 Divide each side by '2'. a = -7 Simplifying a = -7
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