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Simplifying 3a + 27 + -1a = 12 + -34a + 3 Reorder the terms: 27 + 3a + -1a = 12 + -34a + 3 Combine like terms: 3a + -1a = 2a 27 + 2a = 12 + -34a + 3 Reorder the terms: 27 + 2a = 12 + 3 + -34a Combine like terms: 12 + 3 = 15 27 + 2a = 15 + -34a Solving 27 + 2a = 15 + -34a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '34a' to each side of the equation. 27 + 2a + 34a = 15 + -34a + 34a Combine like terms: 2a + 34a = 36a 27 + 36a = 15 + -34a + 34a Combine like terms: -34a + 34a = 0 27 + 36a = 15 + 0 27 + 36a = 15 Add '-27' to each side of the equation. 27 + -27 + 36a = 15 + -27 Combine like terms: 27 + -27 = 0 0 + 36a = 15 + -27 36a = 15 + -27 Combine like terms: 15 + -27 = -12 36a = -12 Divide each side by '36'. a = -0.3333333333 Simplifying a = -0.3333333333
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