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Simplifying 9 + 2a + 12 = -12a + 6 + 20a + -15 Reorder the terms: 9 + 12 + 2a = -12a + 6 + 20a + -15 Combine like terms: 9 + 12 = 21 21 + 2a = -12a + 6 + 20a + -15 Reorder the terms: 21 + 2a = 6 + -15 + -12a + 20a Combine like terms: 6 + -15 = -9 21 + 2a = -9 + -12a + 20a Combine like terms: -12a + 20a = 8a 21 + 2a = -9 + 8a Solving 21 + 2a = -9 + 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. 21 + 2a + -8a = -9 + 8a + -8a Combine like terms: 2a + -8a = -6a 21 + -6a = -9 + 8a + -8a Combine like terms: 8a + -8a = 0 21 + -6a = -9 + 0 21 + -6a = -9 Add '-21' to each side of the equation. 21 + -21 + -6a = -9 + -21 Combine like terms: 21 + -21 = 0 0 + -6a = -9 + -21 -6a = -9 + -21 Combine like terms: -9 + -21 = -30 -6a = -30 Divide each side by '-6'. a = 5 Simplifying a = 5
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