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Simplifying a + 49.3 = -1a + 5.7 Reorder the terms: 49.3 + a = -1a + 5.7 Reorder the terms: 49.3 + a = 5.7 + -1a Solving 49.3 + a = 5.7 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 49.3 + a + a = 5.7 + -1a + a Combine like terms: a + a = 2a 49.3 + 2a = 5.7 + -1a + a Combine like terms: -1a + a = 0 49.3 + 2a = 5.7 + 0 49.3 + 2a = 5.7 Add '-49.3' to each side of the equation. 49.3 + -49.3 + 2a = 5.7 + -49.3 Combine like terms: 49.3 + -49.3 = 0.0 0.0 + 2a = 5.7 + -49.3 2a = 5.7 + -49.3 Combine like terms: 5.7 + -49.3 = -43.6 2a = -43.6 Divide each side by '2'. a = -21.8 Simplifying a = -21.8
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