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Simplifying 12 + -8a + -6 = -13a + 21 Reorder the terms: 12 + -6 + -8a = -13a + 21 Combine like terms: 12 + -6 = 6 6 + -8a = -13a + 21 Reorder the terms: 6 + -8a = 21 + -13a Solving 6 + -8a = 21 + -13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '13a' to each side of the equation. 6 + -8a + 13a = 21 + -13a + 13a Combine like terms: -8a + 13a = 5a 6 + 5a = 21 + -13a + 13a Combine like terms: -13a + 13a = 0 6 + 5a = 21 + 0 6 + 5a = 21 Add '-6' to each side of the equation. 6 + -6 + 5a = 21 + -6 Combine like terms: 6 + -6 = 0 0 + 5a = 21 + -6 5a = 21 + -6 Combine like terms: 21 + -6 = 15 5a = 15 Divide each side by '5'. a = 3 Simplifying a = 3
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