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Simplifying 13a + 12 = 8a + -12 Reorder the terms: 12 + 13a = 8a + -12 Reorder the terms: 12 + 13a = -12 + 8a Solving 12 + 13a = -12 + 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 = -12 + 8a + -8a Combine like terms: 13a + -8a = 5a 12 + 5a = -12 + 8a + -8a Combine like terms: 8a + -8a = 0 12 + 5a = -12 + 0 12 + 5a = -12 Add '-12' to each side of the equation. 12 + -12 + 5a = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 5a = -12 + -12 5a = -12 + -12 Combine like terms: -12 + -12 = -24 5a = -24 Divide each side by '5'. a = -4.8 Simplifying a = -4.8
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