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Simplifying 14 + 3a = 12a + 1 Reorder the terms: 14 + 3a = 1 + 12a Solving 14 + 3a = 1 + 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. 14 + 3a + -12a = 1 + 12a + -12a Combine like terms: 3a + -12a = -9a 14 + -9a = 1 + 12a + -12a Combine like terms: 12a + -12a = 0 14 + -9a = 1 + 0 14 + -9a = 1 Add '-14' to each side of the equation. 14 + -14 + -9a = 1 + -14 Combine like terms: 14 + -14 = 0 0 + -9a = 1 + -14 -9a = 1 + -14 Combine like terms: 1 + -14 = -13 -9a = -13 Divide each side by '-9'. a = 1.444444444 Simplifying a = 1.444444444
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