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Simplifying -6a + 3a + 2 = 5a + -12 + -1a Reorder the terms: 2 + -6a + 3a = 5a + -12 + -1a Combine like terms: -6a + 3a = -3a 2 + -3a = 5a + -12 + -1a Reorder the terms: 2 + -3a = -12 + 5a + -1a Combine like terms: 5a + -1a = 4a 2 + -3a = -12 + 4a Solving 2 + -3a = -12 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 2 + -3a + -4a = -12 + 4a + -4a Combine like terms: -3a + -4a = -7a 2 + -7a = -12 + 4a + -4a Combine like terms: 4a + -4a = 0 2 + -7a = -12 + 0 2 + -7a = -12 Add '-2' to each side of the equation. 2 + -2 + -7a = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -7a = -12 + -2 -7a = -12 + -2 Combine like terms: -12 + -2 = -14 -7a = -14 Divide each side by '-7'. a = 2 Simplifying a = 2
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