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Simplifying 3a + 12 = 6a + -8 + -5a Reorder the terms: 12 + 3a = 6a + -8 + -5a Reorder the terms: 12 + 3a = -8 + 6a + -5a Combine like terms: 6a + -5a = 1a 12 + 3a = -8 + 1a Solving 12 + 3a = -8 + 1a 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 = -8 + 1a + -1a Combine like terms: 3a + -1a = 2a 12 + 2a = -8 + 1a + -1a Combine like terms: 1a + -1a = 0 12 + 2a = -8 + 0 12 + 2a = -8 Add '-12' to each side of the equation. 12 + -12 + 2a = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 2a = -8 + -12 2a = -8 + -12 Combine like terms: -8 + -12 = -20 2a = -20 Divide each side by '2'. a = -10 Simplifying a = -10
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