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Simplifying 3a + -27 = 12a + 54 Reorder the terms: -27 + 3a = 12a + 54 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 = 81 -9a = 81 Divide each side by '-9'. a = -9 Simplifying a = -9
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