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Simplifying 3a + 10 + 6a = 7a + -9a Reorder the terms: 10 + 3a + 6a = 7a + -9a Combine like terms: 3a + 6a = 9a 10 + 9a = 7a + -9a Combine like terms: 7a + -9a = -2a 10 + 9a = -2a Solving 10 + 9a = -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 10 + 9a + 2a = -2a + 2a Combine like terms: 9a + 2a = 11a 10 + 11a = -2a + 2a Combine like terms: -2a + 2a = 0 10 + 11a = 0 Add '-10' to each side of the equation. 10 + -10 + 11a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 11a = 0 + -10 11a = 0 + -10 Combine like terms: 0 + -10 = -10 11a = -10 Divide each side by '11'. a = -0.9090909091 Simplifying a = -0.9090909091
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