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Simplifying 3a + 27 = 54 + 12a Reorder the terms: 27 + 3a = 54 + 12a Solving 27 + 3a = 54 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 27 + 3a + -12a = 54 + 12a + -12a Combine like terms: 3a + -12a = -9a 27 + -9a = 54 + 12a + -12a Combine like terms: 12a + -12a = 0 27 + -9a = 54 + 0 27 + -9a = 54 Add '-27' to each side of the equation. 27 + -27 + -9a = 54 + -27 Combine like terms: 27 + -27 = 0 0 + -9a = 54 + -27 -9a = 54 + -27 Combine like terms: 54 + -27 = 27 -9a = 27 Divide each side by '-9'. a = -3 Simplifying a = -3
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