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Simplifying 13a + -12 = 8a + 18 Reorder the terms: -12 + 13a = 8a + 18 Reorder the terms: -12 + 13a = 18 + 8a Solving -12 + 13a = 18 + 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 = 18 + 8a + -8a Combine like terms: 13a + -8a = 5a -12 + 5a = 18 + 8a + -8a Combine like terms: 8a + -8a = 0 -12 + 5a = 18 + 0 -12 + 5a = 18 Add '12' to each side of the equation. -12 + 12 + 5a = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 5a = 18 + 12 5a = 18 + 12 Combine like terms: 18 + 12 = 30 5a = 30 Divide each side by '5'. a = 6 Simplifying a = 6
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