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Simplifying 10 + 3a = 9 + -2a Solving 10 + 3a = 9 + -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 + 3a + 2a = 9 + -2a + 2a Combine like terms: 3a + 2a = 5a 10 + 5a = 9 + -2a + 2a Combine like terms: -2a + 2a = 0 10 + 5a = 9 + 0 10 + 5a = 9 Add '-10' to each side of the equation. 10 + -10 + 5a = 9 + -10 Combine like terms: 10 + -10 = 0 0 + 5a = 9 + -10 5a = 9 + -10 Combine like terms: 9 + -10 = -1 5a = -1 Divide each side by '5'. a = -0.2 Simplifying a = -0.2
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