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Simplifying 5a + 4a + 9 = 21a + -39 Reorder the terms: 9 + 5a + 4a = 21a + -39 Combine like terms: 5a + 4a = 9a 9 + 9a = 21a + -39 Reorder the terms: 9 + 9a = -39 + 21a Solving 9 + 9a = -39 + 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. 9 + 9a + -21a = -39 + 21a + -21a Combine like terms: 9a + -21a = -12a 9 + -12a = -39 + 21a + -21a Combine like terms: 21a + -21a = 0 9 + -12a = -39 + 0 9 + -12a = -39 Add '-9' to each side of the equation. 9 + -9 + -12a = -39 + -9 Combine like terms: 9 + -9 = 0 0 + -12a = -39 + -9 -12a = -39 + -9 Combine like terms: -39 + -9 = -48 -12a = -48 Divide each side by '-12'. a = 4 Simplifying a = 4
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