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Simplifying 5a + 9 = 10 + a Reorder the terms: 9 + 5a = 10 + a Solving 9 + 5a = 10 + 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. 9 + 5a + -1a = 10 + a + -1a Combine like terms: 5a + -1a = 4a 9 + 4a = 10 + a + -1a Combine like terms: a + -1a = 0 9 + 4a = 10 + 0 9 + 4a = 10 Add '-9' to each side of the equation. 9 + -9 + 4a = 10 + -9 Combine like terms: 9 + -9 = 0 0 + 4a = 10 + -9 4a = 10 + -9 Combine like terms: 10 + -9 = 1 4a = 1 Divide each side by '4'. a = 0.25 Simplifying a = 0.25
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