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Simplifying 12a + 7 = 11 + -3a Reorder the terms: 7 + 12a = 11 + -3a Solving 7 + 12a = 11 + -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. 7 + 12a + 3a = 11 + -3a + 3a Combine like terms: 12a + 3a = 15a 7 + 15a = 11 + -3a + 3a Combine like terms: -3a + 3a = 0 7 + 15a = 11 + 0 7 + 15a = 11 Add '-7' to each side of the equation. 7 + -7 + 15a = 11 + -7 Combine like terms: 7 + -7 = 0 0 + 15a = 11 + -7 15a = 11 + -7 Combine like terms: 11 + -7 = 4 15a = 4 Divide each side by '15'. a = 0.2666666667 Simplifying a = 0.2666666667
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