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Simplifying a + 7 = 12 + -1a + 15 Reorder the terms: 7 + a = 12 + -1a + 15 Reorder the terms: 7 + a = 12 + 15 + -1a Combine like terms: 12 + 15 = 27 7 + a = 27 + -1a Solving 7 + a = 27 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 7 + a + a = 27 + -1a + a Combine like terms: a + a = 2a 7 + 2a = 27 + -1a + a Combine like terms: -1a + a = 0 7 + 2a = 27 + 0 7 + 2a = 27 Add '-7' to each side of the equation. 7 + -7 + 2a = 27 + -7 Combine like terms: 7 + -7 = 0 0 + 2a = 27 + -7 2a = 27 + -7 Combine like terms: 27 + -7 = 20 2a = 20 Divide each side by '2'. a = 10 Simplifying a = 10
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