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Simplifying 2a + 3(a + 2) = a + 10 + 2a Reorder the terms: 2a + 3(2 + a) = a + 10 + 2a 2a + (2 * 3 + a * 3) = a + 10 + 2a 2a + (6 + 3a) = a + 10 + 2a Reorder the terms: 6 + 2a + 3a = a + 10 + 2a Combine like terms: 2a + 3a = 5a 6 + 5a = a + 10 + 2a Reorder the terms: 6 + 5a = 10 + a + 2a Combine like terms: a + 2a = 3a 6 + 5a = 10 + 3a Solving 6 + 5a = 10 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 6 + 5a + -3a = 10 + 3a + -3a Combine like terms: 5a + -3a = 2a 6 + 2a = 10 + 3a + -3a Combine like terms: 3a + -3a = 0 6 + 2a = 10 + 0 6 + 2a = 10 Add '-6' to each side of the equation. 6 + -6 + 2a = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 2a = 10 + -6 2a = 10 + -6 Combine like terms: 10 + -6 = 4 2a = 4 Divide each side by '2'. a = 2 Simplifying a = 2
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