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Simplifying 5.4a + 8.2 = a + -2.8 Reorder the terms: 8.2 + 5.4a = a + -2.8 Reorder the terms: 8.2 + 5.4a = -2.8 + a Solving 8.2 + 5.4a = -2.8 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 8.2 + 5.4a + -1a = -2.8 + a + -1a Combine like terms: 5.4a + -1a = 4.4a 8.2 + 4.4a = -2.8 + a + -1a Combine like terms: a + -1a = 0 8.2 + 4.4a = -2.8 + 0 8.2 + 4.4a = -2.8 Add '-8.2' to each side of the equation. 8.2 + -8.2 + 4.4a = -2.8 + -8.2 Combine like terms: 8.2 + -8.2 = 0.0 0.0 + 4.4a = -2.8 + -8.2 4.4a = -2.8 + -8.2 Combine like terms: -2.8 + -8.2 = -11 4.4a = -11 Divide each side by '4.4'. a = -2.5 Simplifying a = -2.5
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