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Simplifying 13a + 12 = 8a + -13 Reorder the terms: 12 + 13a = 8a + -13 Reorder the terms: 12 + 13a = -13 + 8a Solving 12 + 13a = -13 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 12 + 13a + -8a = -13 + 8a + -8a Combine like terms: 13a + -8a = 5a 12 + 5a = -13 + 8a + -8a Combine like terms: 8a + -8a = 0 12 + 5a = -13 + 0 12 + 5a = -13 Add '-12' to each side of the equation. 12 + -12 + 5a = -13 + -12 Combine like terms: 12 + -12 = 0 0 + 5a = -13 + -12 5a = -13 + -12 Combine like terms: -13 + -12 = -25 5a = -25 Divide each side by '5'. a = -5 Simplifying a = -5
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