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Simplifying 12a + 8 = 6a + -10 Reorder the terms: 8 + 12a = 6a + -10 Reorder the terms: 8 + 12a = -10 + 6a Solving 8 + 12a = -10 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 8 + 12a + -6a = -10 + 6a + -6a Combine like terms: 12a + -6a = 6a 8 + 6a = -10 + 6a + -6a Combine like terms: 6a + -6a = 0 8 + 6a = -10 + 0 8 + 6a = -10 Add '-8' to each side of the equation. 8 + -8 + 6a = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 6a = -10 + -8 6a = -10 + -8 Combine like terms: -10 + -8 = -18 6a = -18 Divide each side by '6'. a = -3 Simplifying a = -3
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