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Simplifying a + (2a + 12) = a + -6 Reorder the terms: a + (12 + 2a) = a + -6 Remove parenthesis around (12 + 2a) a + 12 + 2a = a + -6 Reorder the terms: 12 + a + 2a = a + -6 Combine like terms: a + 2a = 3a 12 + 3a = a + -6 Reorder the terms: 12 + 3a = -6 + a Solving 12 + 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. 12 + 3a + -1a = -6 + a + -1a Combine like terms: 3a + -1a = 2a 12 + 2a = -6 + a + -1a Combine like terms: a + -1a = 0 12 + 2a = -6 + 0 12 + 2a = -6 Add '-12' to each side of the equation. 12 + -12 + 2a = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 2a = -6 + -12 2a = -6 + -12 Combine like terms: -6 + -12 = -18 2a = -18 Divide each side by '2'. a = -9 Simplifying a = -9
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