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Simplifying 12 + 7a = 3a + -6(-8a + -2) Reorder the terms: 12 + 7a = 3a + -6(-2 + -8a) 12 + 7a = 3a + (-2 * -6 + -8a * -6) 12 + 7a = 3a + (12 + 48a) Reorder the terms: 12 + 7a = 12 + 3a + 48a Combine like terms: 3a + 48a = 51a 12 + 7a = 12 + 51a Add '-12' to each side of the equation. 12 + -12 + 7a = 12 + -12 + 51a Combine like terms: 12 + -12 = 0 0 + 7a = 12 + -12 + 51a 7a = 12 + -12 + 51a Combine like terms: 12 + -12 = 0 7a = 0 + 51a 7a = 51a Solving 7a = 51a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-51a' to each side of the equation. 7a + -51a = 51a + -51a Combine like terms: 7a + -51a = -44a -44a = 51a + -51a Combine like terms: 51a + -51a = 0 -44a = 0 Divide each side by '-44'. a = 0 Simplifying a = 0
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