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Simplifying 4a + 8.2 = 9.8a + -2.8 Reorder the terms: 8.2 + 4a = 9.8a + -2.8 Reorder the terms: 8.2 + 4a = -2.8 + 9.8a Solving 8.2 + 4a = -2.8 + 9.8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9.8a' to each side of the equation. 8.2 + 4a + -9.8a = -2.8 + 9.8a + -9.8a Combine like terms: 4a + -9.8a = -5.8a 8.2 + -5.8a = -2.8 + 9.8a + -9.8a Combine like terms: 9.8a + -9.8a = 0.0 8.2 + -5.8a = -2.8 + 0.0 8.2 + -5.8a = -2.8 Add '-8.2' to each side of the equation. 8.2 + -8.2 + -5.8a = -2.8 + -8.2 Combine like terms: 8.2 + -8.2 = 0.0 0.0 + -5.8a = -2.8 + -8.2 -5.8a = -2.8 + -8.2 Combine like terms: -2.8 + -8.2 = -11 -5.8a = -11 Divide each side by '-5.8'. a = 1.896551724 Simplifying a = 1.896551724
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