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Simplifying 5 + 3a = 2a + 12 Reorder the terms: 5 + 3a = 12 + 2a Solving 5 + 3a = 12 + 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. 5 + 3a + -2a = 12 + 2a + -2a Combine like terms: 3a + -2a = 1a 5 + 1a = 12 + 2a + -2a Combine like terms: 2a + -2a = 0 5 + 1a = 12 + 0 5 + 1a = 12 Add '-5' to each side of the equation. 5 + -5 + 1a = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 1a = 12 + -5 1a = 12 + -5 Combine like terms: 12 + -5 = 7 1a = 7 Divide each side by '1'. a = 7 Simplifying a = 7
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