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Simplifying 12a + 7 = 3a + (-11) Reorder the terms: 7 + 12a = 3a + (-11) 7 + 12a = 3a + -11 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 = 9a 7 + 9a = -11 + 3a + -3a Combine like terms: 3a + -3a = 0 7 + 9a = -11 + 0 7 + 9a = -11 Add '-7' to each side of the equation. 7 + -7 + 9a = -11 + -7 Combine like terms: 7 + -7 = 0 0 + 9a = -11 + -7 9a = -11 + -7 Combine like terms: -11 + -7 = -18 9a = -18 Divide each side by '9'. a = -2 Simplifying a = -2
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