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Simplifying a + 37 + 12a = 30a + -27 Reorder the terms: 37 + a + 12a = 30a + -27 Combine like terms: a + 12a = 13a 37 + 13a = 30a + -27 Reorder the terms: 37 + 13a = -27 + 30a Solving 37 + 13a = -27 + 30a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30a' to each side of the equation. 37 + 13a + -30a = -27 + 30a + -30a Combine like terms: 13a + -30a = -17a 37 + -17a = -27 + 30a + -30a Combine like terms: 30a + -30a = 0 37 + -17a = -27 + 0 37 + -17a = -27 Add '-37' to each side of the equation. 37 + -37 + -17a = -27 + -37 Combine like terms: 37 + -37 = 0 0 + -17a = -27 + -37 -17a = -27 + -37 Combine like terms: -27 + -37 = -64 -17a = -64 Divide each side by '-17'. a = 3.764705882 Simplifying a = 3.764705882
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