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Simplifying 29(18a + 2) = 12(4a + -20) Reorder the terms: 29(2 + 18a) = 12(4a + -20) (2 * 29 + 18a * 29) = 12(4a + -20) (58 + 522a) = 12(4a + -20) Reorder the terms: 58 + 522a = 12(-20 + 4a) 58 + 522a = (-20 * 12 + 4a * 12) 58 + 522a = (-240 + 48a) Solving 58 + 522a = -240 + 48a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-48a' to each side of the equation. 58 + 522a + -48a = -240 + 48a + -48a Combine like terms: 522a + -48a = 474a 58 + 474a = -240 + 48a + -48a Combine like terms: 48a + -48a = 0 58 + 474a = -240 + 0 58 + 474a = -240 Add '-58' to each side of the equation. 58 + -58 + 474a = -240 + -58 Combine like terms: 58 + -58 = 0 0 + 474a = -240 + -58 474a = -240 + -58 Combine like terms: -240 + -58 = -298 474a = -298 Divide each side by '474'. a = -0.6286919831 Simplifying a = -0.6286919831
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