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Simplifying 12a + -44 = 9a + 1 Reorder the terms: -44 + 12a = 9a + 1 Reorder the terms: -44 + 12a = 1 + 9a Solving -44 + 12a = 1 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -44 + 12a + -9a = 1 + 9a + -9a Combine like terms: 12a + -9a = 3a -44 + 3a = 1 + 9a + -9a Combine like terms: 9a + -9a = 0 -44 + 3a = 1 + 0 -44 + 3a = 1 Add '44' to each side of the equation. -44 + 44 + 3a = 1 + 44 Combine like terms: -44 + 44 = 0 0 + 3a = 1 + 44 3a = 1 + 44 Combine like terms: 1 + 44 = 45 3a = 45 Divide each side by '3'. a = 15 Simplifying a = 15
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