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Simplifying a + 6 + -6a = 12 + 3a Reorder the terms: 6 + a + -6a = 12 + 3a Combine like terms: a + -6a = -5a 6 + -5a = 12 + 3a Solving 6 + -5a = 12 + 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. 6 + -5a + -3a = 12 + 3a + -3a Combine like terms: -5a + -3a = -8a 6 + -8a = 12 + 3a + -3a Combine like terms: 3a + -3a = 0 6 + -8a = 12 + 0 6 + -8a = 12 Add '-6' to each side of the equation. 6 + -6 + -8a = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -8a = 12 + -6 -8a = 12 + -6 Combine like terms: 12 + -6 = 6 -8a = 6 Divide each side by '-8'. a = -0.75 Simplifying a = -0.75
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