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Simplifying 12 + -6a = -7(2a + 4) Reorder the terms: 12 + -6a = -7(4 + 2a) 12 + -6a = (4 * -7 + 2a * -7) 12 + -6a = (-28 + -14a) Solving 12 + -6a = -28 + -14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14a' to each side of the equation. 12 + -6a + 14a = -28 + -14a + 14a Combine like terms: -6a + 14a = 8a 12 + 8a = -28 + -14a + 14a Combine like terms: -14a + 14a = 0 12 + 8a = -28 + 0 12 + 8a = -28 Add '-12' to each side of the equation. 12 + -12 + 8a = -28 + -12 Combine like terms: 12 + -12 = 0 0 + 8a = -28 + -12 8a = -28 + -12 Combine like terms: -28 + -12 = -40 8a = -40 Divide each side by '8'. a = -5 Simplifying a = -5
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