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Simplifying 6a + -4 + 12 = 3a + 1 Reorder the terms: -4 + 12 + 6a = 3a + 1 Combine like terms: -4 + 12 = 8 8 + 6a = 3a + 1 Reorder the terms: 8 + 6a = 1 + 3a Solving 8 + 6a = 1 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 8 + 6a + -3a = 1 + 3a + -3a Combine like terms: 6a + -3a = 3a 8 + 3a = 1 + 3a + -3a Combine like terms: 3a + -3a = 0 8 + 3a = 1 + 0 8 + 3a = 1 Add '-8' to each side of the equation. 8 + -8 + 3a = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 3a = 1 + -8 3a = 1 + -8 Combine like terms: 1 + -8 = -7 3a = -7 Divide each side by '3'. a = -2.333333333 Simplifying a = -2.333333333
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