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Simplifying 12a + -8a = 10 + 2a + -13 + -7 Combine like terms: 12a + -8a = 4a 4a = 10 + 2a + -13 + -7 Reorder the terms: 4a = 10 + -13 + -7 + 2a Combine like terms: 10 + -13 = -3 4a = -3 + -7 + 2a Combine like terms: -3 + -7 = -10 4a = -10 + 2a Solving 4a = -10 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 4a + -2a = -10 + 2a + -2a Combine like terms: 4a + -2a = 2a 2a = -10 + 2a + -2a Combine like terms: 2a + -2a = 0 2a = -10 + 0 2a = -10 Divide each side by '2'. a = -5 Simplifying a = -5
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