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Simplifying 6a + 12 = 3a + 4 + -2a Reorder the terms: 12 + 6a = 3a + 4 + -2a Reorder the terms: 12 + 6a = 4 + 3a + -2a Combine like terms: 3a + -2a = 1a 12 + 6a = 4 + 1a Solving 12 + 6a = 4 + 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 + 6a + -1a = 4 + 1a + -1a Combine like terms: 6a + -1a = 5a 12 + 5a = 4 + 1a + -1a Combine like terms: 1a + -1a = 0 12 + 5a = 4 + 0 12 + 5a = 4 Add '-12' to each side of the equation. 12 + -12 + 5a = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 5a = 4 + -12 5a = 4 + -12 Combine like terms: 4 + -12 = -8 5a = -8 Divide each side by '5'. a = -1.6 Simplifying a = -1.6
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