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Simplifying 4.6(2a + 3) = 3.7a + -0.4 Reorder the terms: 4.6(3 + 2a) = 3.7a + -0.4 (3 * 4.6 + 2a * 4.6) = 3.7a + -0.4 (13.8 + 9.2a) = 3.7a + -0.4 Reorder the terms: 13.8 + 9.2a = -0.4 + 3.7a Solving 13.8 + 9.2a = -0.4 + 3.7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3.7a' to each side of the equation. 13.8 + 9.2a + -3.7a = -0.4 + 3.7a + -3.7a Combine like terms: 9.2a + -3.7a = 5.5a 13.8 + 5.5a = -0.4 + 3.7a + -3.7a Combine like terms: 3.7a + -3.7a = 0.0 13.8 + 5.5a = -0.4 + 0.0 13.8 + 5.5a = -0.4 Add '-13.8' to each side of the equation. 13.8 + -13.8 + 5.5a = -0.4 + -13.8 Combine like terms: 13.8 + -13.8 = 0.0 0.0 + 5.5a = -0.4 + -13.8 5.5a = -0.4 + -13.8 Combine like terms: -0.4 + -13.8 = -14.2 5.5a = -14.2 Divide each side by '5.5'. a = -2.581818182 Simplifying a = -2.581818182
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