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Simplifying 9 + a = 10 + -6a Solving 9 + a = 10 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 9 + a + 6a = 10 + -6a + 6a Combine like terms: a + 6a = 7a 9 + 7a = 10 + -6a + 6a Combine like terms: -6a + 6a = 0 9 + 7a = 10 + 0 9 + 7a = 10 Add '-9' to each side of the equation. 9 + -9 + 7a = 10 + -9 Combine like terms: 9 + -9 = 0 0 + 7a = 10 + -9 7a = 10 + -9 Combine like terms: 10 + -9 = 1 7a = 1 Divide each side by '7'. a = 0.1428571429 Simplifying a = 0.1428571429
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