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Simplifying 12a + 7 + 6a = 13 + 7a Reorder the terms: 7 + 12a + 6a = 13 + 7a Combine like terms: 12a + 6a = 18a 7 + 18a = 13 + 7a Solving 7 + 18a = 13 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 7 + 18a + -7a = 13 + 7a + -7a Combine like terms: 18a + -7a = 11a 7 + 11a = 13 + 7a + -7a Combine like terms: 7a + -7a = 0 7 + 11a = 13 + 0 7 + 11a = 13 Add '-7' to each side of the equation. 7 + -7 + 11a = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 11a = 13 + -7 11a = 13 + -7 Combine like terms: 13 + -7 = 6 11a = 6 Divide each side by '11'. a = 0.5454545455 Simplifying a = 0.5454545455
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