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Simplifying 10a + -8.1 = 9a + 5.9 Reorder the terms: -8.1 + 10a = 9a + 5.9 Reorder the terms: -8.1 + 10a = 5.9 + 9a Solving -8.1 + 10a = 5.9 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -8.1 + 10a + -9a = 5.9 + 9a + -9a Combine like terms: 10a + -9a = 1a -8.1 + 1a = 5.9 + 9a + -9a Combine like terms: 9a + -9a = 0 -8.1 + 1a = 5.9 + 0 -8.1 + 1a = 5.9 Add '8.1' to each side of the equation. -8.1 + 8.1 + 1a = 5.9 + 8.1 Combine like terms: -8.1 + 8.1 = 0.0 0.0 + 1a = 5.9 + 8.1 1a = 5.9 + 8.1 Combine like terms: 5.9 + 8.1 = 14 1a = 14 Divide each side by '1'. a = 14 Simplifying a = 14
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