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Simplifying 5.4a + 8.2 = 9 + -8a + -2.8 Reorder the terms: 8.2 + 5.4a = 9 + -8a + -2.8 Reorder the terms: 8.2 + 5.4a = 9 + -2.8 + -8a Combine like terms: 9 + -2.8 = 6.2 8.2 + 5.4a = 6.2 + -8a Solving 8.2 + 5.4a = 6.2 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 8.2 + 5.4a + 8a = 6.2 + -8a + 8a Combine like terms: 5.4a + 8a = 13.4a 8.2 + 13.4a = 6.2 + -8a + 8a Combine like terms: -8a + 8a = 0 8.2 + 13.4a = 6.2 + 0 8.2 + 13.4a = 6.2 Add '-8.2' to each side of the equation. 8.2 + -8.2 + 13.4a = 6.2 + -8.2 Combine like terms: 8.2 + -8.2 = 0.0 0.0 + 13.4a = 6.2 + -8.2 13.4a = 6.2 + -8.2 Combine like terms: 6.2 + -8.2 = -2 13.4a = -2 Divide each side by '13.4'. a = -0.1492537313 Simplifying a = -0.1492537313
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