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Simplifying 5.2a + 4.4 + 7.5a = 8a + -5.67 + 2.8a + 0.57 Reorder the terms: 4.4 + 5.2a + 7.5a = 8a + -5.67 + 2.8a + 0.57 Combine like terms: 5.2a + 7.5a = 12.7a 4.4 + 12.7a = 8a + -5.67 + 2.8a + 0.57 Reorder the terms: 4.4 + 12.7a = -5.67 + 0.57 + 8a + 2.8a Combine like terms: -5.67 + 0.57 = -5.1 4.4 + 12.7a = -5.1 + 8a + 2.8a Combine like terms: 8a + 2.8a = 10.8a 4.4 + 12.7a = -5.1 + 10.8a Solving 4.4 + 12.7a = -5.1 + 10.8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10.8a' to each side of the equation. 4.4 + 12.7a + -10.8a = -5.1 + 10.8a + -10.8a Combine like terms: 12.7a + -10.8a = 1.9a 4.4 + 1.9a = -5.1 + 10.8a + -10.8a Combine like terms: 10.8a + -10.8a = 0.0 4.4 + 1.9a = -5.1 + 0.0 4.4 + 1.9a = -5.1 Add '-4.4' to each side of the equation. 4.4 + -4.4 + 1.9a = -5.1 + -4.4 Combine like terms: 4.4 + -4.4 = 0.0 0.0 + 1.9a = -5.1 + -4.4 1.9a = -5.1 + -4.4 Combine like terms: -5.1 + -4.4 = -9.5 1.9a = -9.5 Divide each side by '1.9'. a = -5 Simplifying a = -5
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