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Simplifying 6a + 12 = 5a + 13 Reorder the terms: 12 + 6a = 5a + 13 Reorder the terms: 12 + 6a = 13 + 5a Solving 12 + 6a = 13 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 12 + 6a + -5a = 13 + 5a + -5a Combine like terms: 6a + -5a = 1a 12 + 1a = 13 + 5a + -5a Combine like terms: 5a + -5a = 0 12 + 1a = 13 + 0 12 + 1a = 13 Add '-12' to each side of the equation. 12 + -12 + 1a = 13 + -12 Combine like terms: 12 + -12 = 0 0 + 1a = 13 + -12 1a = 13 + -12 Combine like terms: 13 + -12 = 1 1a = 1 Divide each side by '1'. a = 1 Simplifying a = 1
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