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Simplifying 37a + 12 + 14a + -9 = 6a + 11 + -14 + 5a Reorder the terms: 12 + -9 + 37a + 14a = 6a + 11 + -14 + 5a Combine like terms: 12 + -9 = 3 3 + 37a + 14a = 6a + 11 + -14 + 5a Combine like terms: 37a + 14a = 51a 3 + 51a = 6a + 11 + -14 + 5a Reorder the terms: 3 + 51a = 11 + -14 + 6a + 5a Combine like terms: 11 + -14 = -3 3 + 51a = -3 + 6a + 5a Combine like terms: 6a + 5a = 11a 3 + 51a = -3 + 11a Solving 3 + 51a = -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. 3 + 51a + -11a = -3 + 11a + -11a Combine like terms: 51a + -11a = 40a 3 + 40a = -3 + 11a + -11a Combine like terms: 11a + -11a = 0 3 + 40a = -3 + 0 3 + 40a = -3 Add '-3' to each side of the equation. 3 + -3 + 40a = -3 + -3 Combine like terms: 3 + -3 = 0 0 + 40a = -3 + -3 40a = -3 + -3 Combine like terms: -3 + -3 = -6 40a = -6 Divide each side by '40'. a = -0.15 Simplifying a = -0.15
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