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Simplifying 10a + -9.1 = 9a + 6.9 Reorder the terms: -9.1 + 10a = 9a + 6.9 Reorder the terms: -9.1 + 10a = 6.9 + 9a Solving -9.1 + 10a = 6.9 + 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. -9.1 + 10a + -9a = 6.9 + 9a + -9a Combine like terms: 10a + -9a = 1a -9.1 + 1a = 6.9 + 9a + -9a Combine like terms: 9a + -9a = 0 -9.1 + 1a = 6.9 + 0 -9.1 + 1a = 6.9 Add '9.1' to each side of the equation. -9.1 + 9.1 + 1a = 6.9 + 9.1 Combine like terms: -9.1 + 9.1 = 0.0 0.0 + 1a = 6.9 + 9.1 1a = 6.9 + 9.1 Combine like terms: 6.9 + 9.1 = 16 1a = 16 Divide each side by '1'. a = 16 Simplifying a = 16
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