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Simplifying 12 + 5a = 18 + 3a Solving 12 + 5a = 18 + 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. 12 + 5a + -3a = 18 + 3a + -3a Combine like terms: 5a + -3a = 2a 12 + 2a = 18 + 3a + -3a Combine like terms: 3a + -3a = 0 12 + 2a = 18 + 0 12 + 2a = 18 Add '-12' to each side of the equation. 12 + -12 + 2a = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 2a = 18 + -12 2a = 18 + -12 Combine like terms: 18 + -12 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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