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Simplifying -1a + 5 + 2(a + 7) = 12 Reorder the terms: -1a + 5 + 2(7 + a) = 12 -1a + 5 + (7 * 2 + a * 2) = 12 -1a + 5 + (14 + 2a) = 12 Reorder the terms: 5 + 14 + -1a + 2a = 12 Combine like terms: 5 + 14 = 19 19 + -1a + 2a = 12 Combine like terms: -1a + 2a = 1a 19 + 1a = 12 Solving 19 + 1a = 12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 1a = 12 + -19 Combine like terms: 19 + -19 = 0 0 + 1a = 12 + -19 1a = 12 + -19 Combine like terms: 12 + -19 = -7 1a = -7 Divide each side by '1'. a = -7 Simplifying a = -7
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