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Simplifying 3a + 9 = 6a + -27 Reorder the terms: 9 + 3a = 6a + -27 Reorder the terms: 9 + 3a = -27 + 6a Solving 9 + 3a = -27 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 9 + 3a + -6a = -27 + 6a + -6a Combine like terms: 3a + -6a = -3a 9 + -3a = -27 + 6a + -6a Combine like terms: 6a + -6a = 0 9 + -3a = -27 + 0 9 + -3a = -27 Add '-9' to each side of the equation. 9 + -9 + -3a = -27 + -9 Combine like terms: 9 + -9 = 0 0 + -3a = -27 + -9 -3a = -27 + -9 Combine like terms: -27 + -9 = -36 -3a = -36 Divide each side by '-3'. a = 12 Simplifying a = 12
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