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Simplifying 37 + 12 + 14a + -9 = 6a + 11 + -14 + 5a Reorder the terms: 37 + 12 + -9 + 14a = 6a + 11 + -14 + 5a Combine like terms: 37 + 12 = 49 49 + -9 + 14a = 6a + 11 + -14 + 5a Combine like terms: 49 + -9 = 40 40 + 14a = 6a + 11 + -14 + 5a Reorder the terms: 40 + 14a = 11 + -14 + 6a + 5a Combine like terms: 11 + -14 = -3 40 + 14a = -3 + 6a + 5a Combine like terms: 6a + 5a = 11a 40 + 14a = -3 + 11a Solving 40 + 14a = -3 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. 40 + 14a + -11a = -3 + 11a + -11a Combine like terms: 14a + -11a = 3a 40 + 3a = -3 + 11a + -11a Combine like terms: 11a + -11a = 0 40 + 3a = -3 + 0 40 + 3a = -3 Add '-40' to each side of the equation. 40 + -40 + 3a = -3 + -40 Combine like terms: 40 + -40 = 0 0 + 3a = -3 + -40 3a = -3 + -40 Combine like terms: -3 + -40 = -43 3a = -43 Divide each side by '3'. a = -14.33333333 Simplifying a = -14.33333333
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