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Simplifying -14(3a + 6) = 12(6 + -4a) Reorder the terms: -14(6 + 3a) = 12(6 + -4a) (6 * -14 + 3a * -14) = 12(6 + -4a) (-84 + -42a) = 12(6 + -4a) -84 + -42a = (6 * 12 + -4a * 12) -84 + -42a = (72 + -48a) Solving -84 + -42a = 72 + -48a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '48a' to each side of the equation. -84 + -42a + 48a = 72 + -48a + 48a Combine like terms: -42a + 48a = 6a -84 + 6a = 72 + -48a + 48a Combine like terms: -48a + 48a = 0 -84 + 6a = 72 + 0 -84 + 6a = 72 Add '84' to each side of the equation. -84 + 84 + 6a = 72 + 84 Combine like terms: -84 + 84 = 0 0 + 6a = 72 + 84 6a = 72 + 84 Combine like terms: 72 + 84 = 156 6a = 156 Divide each side by '6'. a = 26 Simplifying a = 26
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