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