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Simplifying 6a + 12 = a + -8 Reorder the terms: 12 + 6a = a + -8 Reorder the terms: 12 + 6a = -8 + a Solving 12 + 6a = -8 + a 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 = -8 + a + -1a Combine like terms: 6a + -1a = 5a 12 + 5a = -8 + a + -1a Combine like terms: a + -1a = 0 12 + 5a = -8 + 0 12 + 5a = -8 Add '-12' to each side of the equation. 12 + -12 + 5a = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 5a = -8 + -12 5a = -8 + -12 Combine like terms: -8 + -12 = -20 5a = -20 Divide each side by '5'. a = -4 Simplifying a = -4
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